Fanaelialae
Legend
There are other ways, but like I said they are rare and I don't recollect most off the top of my head. A second way is the Reincarnation spell, which "...changes it's racial traits accordingly." Racial ability score increases are listed under traits, therefore you can permanently lose points from an ability score by being reincarnated. Since racial ASIs run the gamut of stats, this means that it could potentially happen to any ability score.You are overlooking a key issue here, which was the specific reason I asked that question.
The one (and only) example given is Intelligence. That means it can ONLY affect your choice if you are choosing specifically to multiclass as either Wizard or Artificer. There are no other classes which require Intelligence in order to multiclass into them (or out of them, notably).
So, unless the player is (a) already a Wizard or Artificer who for some godforsaken reason chose to play with super low Int, or (b) some other class and choosing to MC to one of those two, then the Puzzle card is completely irrelevant. It has zero impact on their ability to multiclass.
The Puzzle card doesn't affect any stat. It only affects Intelligence.
Admittedly, I've only seen Reincarnation cast maybe twice while playing 5e, but I doubt my table is the only one that has ever used it. It's rare, but it does happen.