Marginally but not all kyc is created equal.
If wos is under active regulatory attack, it's likely at some point your funds are going to be locked until you kyc. You can be sure that data IS being looked at actively and traced.
On strike, there is no active regulatory campaign (for now) so you still have the opportunity to obfuscate.
I don't think it's a huge deal for zap sats to be kyc but I still see no reason to keep my sats in an active war zone when there's other similar options available