It’s just stupid. The Constitutional option is impeachment. Let the cards fall where they will in the Senate.
Worse it would establish the legal precedent that every time congress felt wronged by a veto, they had standing to sue. Every time one house of congress didn't pass a bill the other house did, they could sue. Any time anyone didn't get what they wanted or passed, they have standing to sue.
An awful lot of layers could make an awful lot of money, but all the cases get rejected eventually.