Funny thing is it doesn't really. It does it, but it could very well do not do this...
Are there any other screen types aside from CRT that need to refresh constantly?
I have literally no idea what you're talking about, as it is not based in truth.
Well, I got what Erenhardt meant: the old CRTs actually needed to be refreshed (phosphor dots fading after so many milliseconds etc.) which is why things like refresh rates, vblank, sync etc. and even scanlines still exist for
historical reasons
Now while
newer* like LCDs do not have an infinite refresh rate (far from it, hence the GtG specs on LCD monitors etc.), they also do not have any actual need to be refreshed like CRTs were the refresh happens from one corner at a time and travels down one line at a time. But for
historical reasons the signals sent down monitor cables are still similar to how they were in the CRT days (in the case of VGA they are identical).
But while a CRT had a gun which could only fire one electron beam at once (I guess multiple guns would have been theoretically possible but would have meant a true monster of tube), LCDs do not and there is not really any reason why the pixels could not be refreshed in an other ways: a region at a time, from both ends at once, whatever: point being there is no physical electron gun.
Now whether that helps with the sync problem? Well, it might but it would mean a totally new way of addressing the screen; probably with buffer like with g-sync but that buffer being perhaps 'behind' each pixel. Not sure how feasible that is. But another though: aren't the sync flickers noticeable precisely monitors still get refreshed with what are effectively scanlines?
Oh, and even while reading the now locked thread, it was obvious to me that freesync is not likely to have been anything which was likely to have been possible to retrofit. But I also think that VBLANK support will eventually find its way to desktop monitors for the same energy saving reasons it is already in some laptops. Whether that helps FPS gamers? Don't know, but then I don't play FPS games *shrug*
*I know, technically, the LCD effect was first discovered in the 19th century before CRTs.