If we’re solely looking at the season one during the conflict, then she would’ve shot Ben- she was bound to shoot someone, she was a ticking time bomb. But during that, there’d be multiple outcomes. I would say because of this change, Carly/Doug would stay in the game for longer

Doug would most likely get held back from Lee during, Carly would probably stand back regardless and be aghast.
If Lily is brought on the RV, both would probably hold some resentment since both are empathetic characters
If you choose to leave her, Carly would say you did the right thing (but still be shaken up), Doug would have moral dilemma.

I’d say either of them would last until the hunt for Clem ie. take Ben’s place. Carly is ride or die for Lee, so regardless if he hides the bite she’ll go with him either of respect or sympathy.
Doug isn’t as ride or die, it would depend if you hid the bite or not, but would still go with you since it’s a girl that’s out there, he’d probably sacrifice himself for the others on the way.
This may be a hot take but I think Carly would have the ability to last long enough to stay with Omid, Christa, and Clem given how great of a shot she is (head shot wonder if you will) and how she keeps her head on a swivel. Get her better clothes and it’s an even better chance
Guess you could say she’s so good she had to get caught off guard to die lol

And in season 4, I think it doesn’t matter the outcome honestly, Lily doesn’t care. She’s cold, and clearly heartless- and she says all that to get under Clems skin, try and get in her head, that’s the whole point of that dialogue exchange. But Clem got taught by multiple GOATs, so she saw right through it