For a moment there I had hoped that maybe it would solve the problem in the opposite direction: I'm typing the master password so mechanically when I'm on my laptop, that I really struggle to remember it when I have to type it on a screen - to the point that I must go sit at a computer open a notepad, let muscle memory take over and then look at the screen to see what I typed /facepalm
Anyway, in all seriousness, while this is a scenario that happens very rarely, it still makes me wonder if it would be possible to do the pasdwordless login the other way, i.e. authenticate the phone using a trusted laptop (maybe a fingerprint enabled one)?