This question seems like an XY problem in and of itself.
What you asked about:
I wonder if there should be a vote up down button to the closure note, too
My response to this is the same as @slhck's comment: there are reopen votes, and you can also flag a question for a moderator to review it and determine if it should be reopened. You can also post on meta (like you're doing now) about a specific question and ask for the community to consider reopening it, and give an argument why you feel that way (note: rhetoric like "Help, I'm being oppressed!" does not help. You need to give specific, rational reasons why the question should be reopened.)
What you really wanted to know about (what you were probably thinking when you wrote that):
In this unjust world where people rabidly close questions just because they can, how can I register my disagreement with these tyrants who want to silence valuable discussion?
My response to this, as a somewhat outspoken veteran of the community, is that this is just the way it is. SuperUser and most other SE sites, being of the "Question and Answer" format, have attempted to strike a balance between Signal (the questions which are really good and belong on the site) and Noise (the questions which don't belong here and should eventually be deleted).
Here's what would make a question ideal for this site, in terms of it being "pure Signal" and "no Noise":
It has a clear-cut, single answer. In other words, if the number of possible correct answers is greater than 1, it is a bad question. These questions are also known as subjective questions. SuperUser, unlike other sites, seems to have a real problem with accepting subjective questions, even good-subjective questions (there was a blog post a while back distinguishing good-subjective and bad-subjective). I feel that the community is, in particular, not very cognizant of this distinction, and tends to close subjective questions regardless of whether they are good or bad subjective. These questions are often closed "Not constructive", and I really disagree with this in many cases. In the case of the question you linked, I personally feel that it does not suffer from "Not constructive" fallacy.
The person asking the question has included all pertinent details about the question, allowing the answers to be very specific and to the point, rather than having to over-generalize due to missing information. This particular point I agree strongly with, and think that we need to continue to weed out questions that are too broad. Questions which violate this principle are often closed "Not a real question". In the case of the question you linked, it does not suffer from "NARQ" fallacy.
The question can serve more people than just the person asking the question. Questions which are single-use -- that is, the person asking it is the only person in the world who is likely to ever benefit from the answer -- are not likely to be accepted by the community. I agree very strongly with this point as well. Questions which violate this principle are often closed "Too Localized". In the case of the question you linked, it does not suffer from "Too Localized" fallacy.
The question is on topic. Note that, because all questions whose sole purpose is to acquire a list of products or services are inherently time-limited (they become less and less useful as more of the products or services listed become obsolete or are discontinued), we categorically mark all questions, whose sole purpose is to obtain links to software, as off topic. Personally, I weakly agree with this point as well, though I feel that, if the community were to commit to continuously maintain "software list" type questions, they would be useful. The problem is, how do we organize / incentivize the maintenance of these lists. Questions which solicit off topic information, which includes software lists as well as other off topic ideas, are closed as "Off Topic". In the case of the question you linked, I think it actually is a bit Off Topic, since it is purely about obtaining a list of software (Linux distributions). So, if I were to vote one way or another on that question, I would actually vote to close it as off topic, not "Not constructive". This is unfortunate, as, I feel that we could maintain lists of extremely common and generally useful software like this, and the site would be better off for it. But that's not how it is now. :(
I personally feel that we are trending towards our quest for a "pure" Signal and are setting our standards so high that many valuable questions with practical answers are getting shut out. But like I said, I am outspoken in the community, and many (including moderators, which is what really counts) feel that the status quo is fine, and that we are accepting most or all valid questions and turning away most or all bad questions, with little, if any, crossover.
In general, I feel that more subjective discussion, and in particular, lists of software satisfying some condition, would be useful on SU, especially if we had some kind of way to ensure that the lists were cleaned up and edited on a regular basis to remove obsolete information.
In general, I feel that questions closed as "Off topic", "NARQ", or "Too Localized" are generally rightfully closed, but I have a problem with "Not constructive" in several cases.
In general, I am a bit concerned that maybe we are trending towards being too strict, and interpreting our guidelines a bit too literally when determining what constitutes an acceptable question and what should be closed/deleted.
In your specific case (the question you linked to), I think it definitely has a problem with being off topic (see my explanation of what I consider to be on-topic under the current system). The "Not constructive" reason for the closure is nonsense, if you ask me.
Lastly: I want to end on a positive note. The rules, guidelines, procedures and decisions of the StackExchange communities, including SuperUser, are malleable. This means that you (and me, and everyone else) can contribute ideas and help steer it in a direction that is, hopefully, closer to the "ideal" site, and better for everyone. So, if you want to help out, I invite you to contribute your ideas that will make the rules better, without destroying the community and the quality content that we value so highly.
It should have been closed as "Off Topic", not "Not Constructive", but I agree that it should be closed. We should strive to come up with a solution in the future to somehow accept software list questions.