The existing [RE-INPUT] line only fires when IsUIActive() swallows a keystroke,
so its silence is ambiguous: it means either 'the game is polling and getting
nothing' or 'the game is not polling at all'. That is exactly the fork the
title-screen investigation is stuck on - with the sign-in dialog fixed the
swallow count is 0 and the title still does not respond to (A).
Adds two logs on the other side: a rate-limited count of calls that get past
IsUIActive to a driver, and one line per keystroke actually handed to the guest
(rare by construction - one per physical press - so every one is logged, with
user index, virtual key and flags).