I personally have a weird habit of uninstalling and reinstalling games a surprising number of times. If I know there's a fee associated with it, be it for the dev or Valve, and the money goes to vultures at Unity, I won't be buying.
To avoid re-installing them then, if we're going to play by the stupid rules. Just install it once and never ever uninstall it if you have even a slight chance to play it. Also make sure your disks have multiple backups.
The way Unity announced such a big hostile change was executed unimaginably poorly. I'm not even going to say you are incorrect as they clarified it to include reinstalls, then reclarified it to be just the initial install. At the same time, they announced that the way they would bill it is by guessing how many installs you have using a "proprietary algorithm" and charging you based on that. So... everybody is wrong because they don't intend to tell people how they actually count anything. The details seem really important, and they still don't seem to know what they are. (eyeroll)
Yeah, personally my library is heavily affected and I want to keep updated with the devs and see what'll happen. If things don't go well, games will probably need to be pulled from Steam