I never understood screensavers, I certainly remember my old CRTs in the 90s sleeping. Zero reason for the power draw when not using.
I don't feel like I remember having that in the 90's at all. Not on my PC running Windows 3.1, or on my Mac SE. But maybe I wouldn't use it because the CRT would take a bit of time to power back up?
Does anybody remember when monitor standby mode became widespread both on monitors and computers and OS's? My google-fu is totally failing, maybe I don't know the right search term.
So I guess it was a mid-90's thing that it rolled out in software, although obviously you needed to upgrade to 95. No idea if hardware supported already existed or lagged behind though.