According to the fandom wiki page for this game:
https://anno1404.fandom.com/wiki/Patches The History edition merely fixed a few "serious issues" with the out-of-memory problem being the only named issue. It does not fix "most" regular quest nor interface bugs not already fixed in earlier patches/version. Typical Ubisoft.
That said, I have the Gold edition of the game on DVD + the v3.1 official patch (which I think also removed the DRM) and is probably equivalent to the GOG version?? Anyway, it seemed to play fine. Not tried it on any new hardware though (worked on XP which I kept until 2020, can't recall if I played it on any Vista/Win7, and not tried it on Win10).