Why a separate authenticator app is fragile
Google Authenticator and Authy store TOTP seeds locally (or with limited cloud backup). Lose your phone, change phones, factory-reset, and you lose access to every account those codes protect. Recovery is per-account: contact support, prove identity, regenerate.
Storing TOTP seeds in your password vault makes them part of your normal backup story. Sync covers them, recovery kits cover them, and switching phones is a non-event — sign in to PassCryp on the new phone and your codes are there.