This is incredibly well said and I agree 100%. I’ll just add that software TOTP is weaker than the MS Authenticator with number matching because the TOTP seed can still be intercepted and/or stolen by an attacker.
Ever notice that TOTP can be backed up and restored to a new device? If it can be transferred, then the device no longer counts for the “something you have” second factor in my threat model.
While I prefer pure phishing-resistant MFA methods (FIDO2, WHFB, or CBA), the support isn’t quite there yet for mobile devices (especially mobile browsers) so the MS Authenticator is the best alternative we have.