There is technically a difference, but it's practically useless.
Greater Invisibility in BG3 has you make a stealth check every time you perform a noticeable action (attacking, casting a spell, etc), starting at DC 15 and increasing each time. If you fail, you become visible and the spell ends. Notably, you don't get any bonuses for being invisible, so unless you have expertise in stealth you're almost certainly going to fail within a few checks.
I am unsure of how quickly the DC rises, because after my Dex 8 Paladin in heavy armor (disadvantage to the stealth check) obviously failed on the first attempt, I unprepared Greater Invisibility from Gale's list and haven't cast it since.