Do you save your password manager and email TOTP on Ente Auth/2FAS?

Thinking of moving from Aegis to a cloud-based TOTP app like Ente Auth, but wanted to ask if people also save their high stakes accounts like password manager and email TOTP on Ente Auth too? The idea would be to also have these TOTPs on Aegis/Yubico Authenticator to tighten security. But maybe I am overcomplicating this.