I could see a town power role getting themselves injured as a cost for whatever they're doing. I could also see a scum power role having a deteriorating condition. Zombies rot, after all. And no offense or implication that the name is for sure a lie, but there's a LOT of characters on that wiki. Giving the name of a good guy doesn't clear anybody at this point, especially since flips are including names and thus it's likely the scum team(s) have names to choose from for fake claims now.
There's no downside to actually claiming and revealing the role at this point. CG claims the doctor saved him last night, so he almost certainly can't be saved tonight. In this case the scum team will get his flip and role but the town won't. It's actually counter-productive to keep the info from the town since the scum are likely to get it.
Unless he's scum. I hoped to come back and see that CG had actually executed some brilliant play since he claimed his play was designed to trip up scum, but all I see is him withholding information on the premise that it would hurt town to reveal it when logic dictates that since he was targeted last night and in almost every game the doc cannot save the same person on consecutive nights, he is most likely going to die tonight. What town power role wants to keep the town in the dark whilest informing scum?