BBQ shouldn't work on survivors in the dying state
I like BBQ as a killer, it's a great perk, it tracks survivors and brings a huge BP bonus. Partially merging it with Deerstalker and letting us see survivors that are downed seems cheesy and unnecessary.
The purpose of BBQ is to motivate the killer from camping and tunneling and go after another survivor, it shouldn't help hooking downed survivors. Besides we have Deerstalker for that and BBQ makes it useless in many situations.