Yes, they would.
I believe if someone really fucking cared about me they would first to do everything they can for actual suicide prevention (helping me with bills, medications, rides, my home, etc) and if making sure my needs were met/trying to help me foster my community wasn't enough to make my need to CTB stop, if they really actually cared about me, they'd help me CTB. And because I really care about them, I'd also make sure I didn't do it in a way that implicated them.