Optimize window display issues for using public key login

Using password to login, it don't pop up a login information window.
Using pub key, will pop up an identity file window, although the time is short.
So, I hope that both login behaviors are consistent.

GIF is as follows:

The issue names no files, tests, or entry points. Reproduce password and public-key logins in WindTerm, then trace the login and identity-file window behavior; done when both authentication methods display consistent information-window behavior.

Written by the indexing model from the issue text.