Yeah that's basically what the Auth header add-on is used for. It's just a pain for the Android app. I got it working briefly but hit a snag where my yubikey I use for passwordless login couldn't be used as it's using a webview container and you can't easily just use a yubikey in that scenario. If SSO was supported mainline support for that could be added.

What I have been meaning to do is have my Auth provider fall back to basic password or something else for HomeAssistant logins, just need to figure out HOW to do that.