So, Ente, a FOSS provider of 2FA (and photos) doesn't have 2FA for their account. TOTP-based, I mean, not e-mail 2FA, which it does have.
The other weird thing being:
When I enable email based 2FA, after entering the email id, it asks for the verification code (sent to email), and then the password. Never seen such a UX.
Lastly, for some reason, while importing my codes from #Aegis Authenticator, the app would hang (kept buffering) and not import the codes at all. I had to do the plain text import.