no.
default privacy is nonnegotiable.
the entire utxos set will be mapped and correlated to IRL identities.
even today, if I avoid KYC I'm hiding in an anonset of less than 10% of addresses.
Maybe less than 5%.
And it only decreases as time goes on.
Discussion
If only payjoins and coinjoins were common practice...although I prefer the tradeoffs of a transparent ledger (and to use higher layers for privacy), I wonder if there's any escape from this KYC matrix that has been woven over the internet