I don't think it matters whether the source is legit or not.
People have to ask themselves why they are buying an NFT.
If they are buying it because they have a genuine interest in owning the NFT then they might want to make sure what they are purchasing is "authentic". Which I imagine in this case means there isn't, and won't be, an NFT that has more claim to being "authentic".
The more popular case for buying an NFT, I imagine, is for its value. Whether that be to sell it for more or simply to own something of value. In this case authenticity doesn't really matter. Two years from now it is entirely possible that MOMA's NFTs are entirely worthless. Everything with a brand is going to be trying to sell an NFT.
Consider trading cards based on 90's cartoons. Both Pokemon and Dragon Ball were popular cartoons. Only Pokemon cards cards though still have any value, to my knowledge.
More than trying to recognize whether the source is legit people have to understand the NFT culture. "Bob's online NFT Shop"'s Starry Night NFT might be worth millions in the future while MOMA's version is worthless. The value isn't really about authenticity. Both could be entirely forgotten tomorrow as it turns out that people don't care about art NFT and it turns out that COVID variant NFTs are the thing that has staying power.