No. He had the same financial incentives to not want to have to worry about the BSA and dealing with AML etc. as CZ.
This is not a company vs. company sort of issue, this is a "I want to avoid regulations that would cost me money as a fundamental aspect of my industry " issue.
If Coinbase thought they could legally not worry about all of this, do you think they would want to deal with it?
The sheer quantity of money used in cryptocurrency for money laundering and activity where traditional payment processors will not accept payments (largely illegal, e.g. drugs, counterfeit goods) also means that the keeping the ecosystem healthy involves having ways for this money to flow.