I've moved 4 most recently to a third different computer in January. I don't know why you're so adverse to redownloading the program files. Even storage transfer cables don't typically transfer program files. If I had to guess without having watched you, you didn't actually move over everything you were supposed to when you chose the long way around.
Everytime I've moved things over, for any game but a few foreign ones that are not detected as program files by a storage cable, I've fresh installed the game files and moved my personal files (saves, library, etc.) in after. I haven't had any problems. Same with 3.
I'd recommend fresh install everything. Clearly something is corrupted or missing. Then move just the personal parts over.