They are 100% immune to credentials phishing. You literally cannot authenticate to an impersonator site based on cryptographic guarantees.
And yes, I know the happy path of password managers uses host-based autofill which does add some friction to phishing attempts, but given the prevalence of unexpected but legitimate urls with weird alternate subdomains/SSO/redirects in modern login flows, you have to manually autofill/add an exception often enough that it's possible to let your guard down once at the wrong time.