I've thought the opposite Ross. I think for the most part he's stuck with him, ironically I think the fact that Carroll scored on his last game made it easer for Kenny to 'rotate' him as he could claim it wasn't based on form just tactics, which spares knocking a players confidence.
I really want to believe in Carroll, much like Henderson if he works out he could prove to be a great long term signing for the club, again I believe he's desperate to do well for the club. Whether or not I actually believe on him beyond me convincing myself I do, I don't know.