Gord doesn't Tanner have anything useful to say at that point? I think he should. Well, more things to the evergrowing list of tweaks.
I don't remember reading anything from Tanner about that.
Now it might be that I accidentally clicked the respective line away, or forgot about it because I didn't pay enough attention at that point because it was late (I also had a few days of pause in between me playing UR due to reallife obligations).
Unfortunately Tanner doesn't seem to have anything else to say about it if I return later.
I'm relatively sure however that I didn't read anything about joining a faction in CC, having to find a guy named Cornell or those Acid Hunters. And judging from what I have now learned in the net and this thread, CC is anyway not the place to go for people that let Buzzer die, because the next MQ parts will not trigger there (at least they didn't for me - I've now been invited by Simmons after I became a Gladiator, but he didn't offer me additional quests). Rather I apparently need to go to Foundry, which again I didn't receive any clue about, iirc.
I'd check again what Tanner does tell me after I report that I freed RC, but I did overwrite the savegame (of course...) since.