It isn't a bad place ... to ... start ... hmmm. Okay, get back to that.
The trauma patch generally stops massive bleeding. I'm not entirely familiar with hemosynth ... *goes to look* ... which essentially stops progressive/overflow damage from, err, progressing. Or overflowing. Yeah, trauma teams would love them both, but they're both also temporary. You're talking about actual healing, instead of something that pretty basically just extends the time for someone to come help. I do understand where you're coming from, but there is (or should be) a heavy cost for it. And yeah, (Rating x 1000¥) is a pretty stiff cost, and the addiction is a great kicker ...
... which gets me back to my previous thought. Have you thought of ... cancer? Every month, call for an Edge test against half the number of injections they've received in the past month (so having just one won't kill them, as it were); a critical glitch will wind up with them having cancer of some sort - make it essentially the negative Quality 'Borrowed Time'.