HD vs SSD only changes load times, I done research and I not seen a single example where a game would hard not work because it was on a HD over an ssd. Albeit being on a ssd will improve performance from 30-100% load times on games.
That does remind me when I was using my old subpar laptop on Pathfinder Kingmaker, which was notorious with its loading times. Pillars of Eternity 2 was also loading slowly. I do remember occasionally making a tea while waiting to load. Crazy memories.
But yeah, I can't really tell before I try the full version of BG3 on my current laptop.