I write an answer just for the sake of having a checkmark that agrees with the whole post (if this gets accepted).
It seems there are two issues at hand here
- do we change game-maker to gamemaker and game-maker-studio-2 to gamemaker-studio-2?
- do we do something about newer versions that make older versions obsolete?
So, 1. yes, like the other answer says, it makes sense to me to rename those tags.
And for 2., it seems there is yet another naming scheme from YoYo game as stated on Wikipedia:
In April 2022, YoYo Games dropped the GameMaker Studio 2 name in order to match its new version numbering scheme, changing it to simply GameMaker.
So it makes it even more complicated to know what's going on in which version because gamemaker would cover two very different versions. I have opinions on this but it does not matter in the scope of this answer. For the record, a previous discussion suggested that new versions for tags should be created only " if there is a significant functional difference between the versions of the thing in question". Since there seems to be a lot of things to consider for this, I suggest a new Meta question is created just to discus this.
In conclusion, upvoting this answer means we agree to rename the tags as suggested in the Question post, and nothing more (for now, w.r.t. the tags/main site).