...you already name-claimed, which was confirmed with the Dawn message. You also gave some info on your role by telling you actively started the Superstar thing, so that makes you at least partially trustworthy already. Besides, as was mentioned before (can't remember who) there's doubt we could even Lynch you today in your Superstar-mode, so that's three reasons I'm not going to try to get you Lynched today.

The only reason to role claim in my opinion is if you think it'll make you less likely to get NK'ed in Night 2. If there's a Doc or other protective role, I think that person will already have a higher likelihood of protecting you now. It might be that a role claim will make you less likely to be targeted by the Scum, in which case: go ahead. (Unless that makes them come after me instead...)

I'd say: let's get into the Night Resolution Message from Taiga first, see what we learn from that and then continue to Lynching either Stephen or ?.