It's often a good idea to set up TOTP on accounts just because they may treat you differently due to having 2FA enabled. It would be harder to lose a gmail account to their "security" systems if you add TOTP to it for example. In the case of gmail adding it is a hassle involving devtools to emulate a hardware key first then add TOTP and then delete the hardware 2FA.
Some password managers such as KeepassXC have TOTP incorporated into them and you can have it available right next to the password. It may defeat the purpose of 2FA under some assumptions.
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