Want to use Bitwarden as my OTP generator except for signing into Bitwarden

That is not correct. You can also use DUO free. That is what I am doing since some years. Here is the “How to use it”:

About protecting Bitwarden. I use 3 different 2FA methods for this purpose:

  • DUO free
  • Authy
  • Yubikey

By doing this I get into Bitwarden even if 2 out of these 3 methods - for whatever reason - are not available. Furthermore: I create a weekly backup. So even if none of these methods work anymore I have access to my credentials with the exception of those that were changed after the lastest backup was created.