I searched for questions about high refresh rate displays and I found that they mostly use the general tag for refresh-rate. I think it makes sense to subdivide it further into questions about 60hz+ rate monitors under high-refresh-rate tag or something.
refresh-rate is good enough to cover the questions currently there. And there are only under 80 questions using it.
Plus refresh-rate is not as intuitive as high-refresh-rate, and only adds to splitting it up for the sake of splitting it up.