I happily store all my passwords and OTP in the same vault. Is it slightly riskier than having them separate? Yes. Would having all my passwords stored as a horcrux be safer too? Yes.
Do I still get the security of TOTP as a rotating component of my password to prevent breakins from stolen credentials? Yes.
Do I still get the security of TOTP as a rotating component of my password to prevent breakins from stolen credentials? Yes.