The title is wrong, there's no such thing as the Nobel Prize for Economics, it's the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2021. Nitpick? Perhaps, but wrong nevertheless.
"There are some things money can't buy."
"Like what?"
"A Nobel prize, for example."
"We'll see about that."
When someone says "North Korea", do you inform them that the correct title is "The Democratic People's Republic of Korea"?
So no, the Nobel family isn't going to approve another because they didn't really approve of this one and aren't likely to sign anything anymore that's trying to sneak one in.