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I dunno keeweb but Trezor does one thing MUCH better than common Password Managers, even with U2F.
The trezor actually matters for the encryption and iirc asks everytime you reveal a password, which is absolutely awesome.
U2F and in fact most other 2FA Methods can ONLY act as a „data valve“ aka a way for example a server to disallow access to the database, but if you for example have the encrypted database already (e.g. because the service was breached or an offline cache or whatever) the U2F, TOTP or Yubico OTP or most other protections, are UTTERLY USELESS, and only your master password stands in the way.