Certificates in Sweden are valid for 3 months. So, if it's the same for Italy then it's not good but not catastrophic either.
I agree that the tracing this summer was less than perfunctory, my brother had your same experience (his girlfriend wasn't even "declared", and nobody checked), and there was no Green Pass at all. Everyone wanted the tourists back so badly that the overall approach was to basically tick checkboxes and leave it at that. They got serious when it became clear the virus would be around all winter because of the Delta variant.
Dunno if in the end they also put in place some kind of blacklisting for leaked certificates