On my desktop browser I have it set to relock only when I close the browser. So I only have to enter my master password the first time.
I have an Android phone and an iPhone and have bitwarden enabled on both and set to auto lock after 15 minutes. Very rarely do I run into and instance where bitwarden won’t be able to auto populate everything on either device and I have biometrics set up to unlock my vault. When it doesn’t I have to go searching but imo it’s a minor inconvenience because it very rarely happens.
If you mean that when you are using the auto entry feature your account isn’t showing up to populate the field without searching then you need to save the URI to the password so that bitwarden knows what account goes with that site. Just hit the auto fill and save button and it will automatically add that URI for you so you don’t have to search next time.