Not really, since coinjoins have an overt signature that can be identified as a coinjoin. Payjoin looks identical to many other types of typical transactions that any wallet would mak before payjoin existed.

The Anonymity Set metric claimed to measure coinjoins isn’t robust since your peers in the join can deteriorate it by revealing themselves. The way it has been deployed makes no guarantees about the costs an attacker would need to pay to violate your privacy. Not to say anonymity sets aren’t real, they are, but the way that word has been applied has been deceiving.