Well, we only know that Harry feels doom when near Q and/or his magic, and that in one case in Azkhaban something weird happened when Harry’s Patronus interacted with what appeared to be an Avada Kedavra bolt, and that Q appears to avoid touching Harry.

Normally I’d say that faking the doom sensations for a year, and faking being incapacitated while trying to break someone out of Azkhaban, would be too complicated. But in this case...