Yes.You're actually calling for double randomness here.
The best way to avoid bad information is to not roll. If a PC is supposed to be a expert in monster lore, the player needs to actively play that way: doing research in down time, taking actual real world notes, asking the GM questions, examining monsters after fights, etc...Presumably it's already possible to fail the roll for information and have to proceed without it, which is already one injection of randomness, potentially followed by another if you succeed, but the information is invalid.
Like I said, I would prefer to do this without rolls at all, but the question was about a random knowledge check. That should come with the chance for some shenanigans. This is a different situation than characters trying to actively research and prep in order to take down whatever it is.
But I already acknowledged that I get why people don't like anything but perfect success. I just find it boring on both sides of the screen.