People respect Ancelotti though and respected him when he came over and they like him.
I think people don't really respect Mancini as they see his trophy haul at Inter as a bit of a sham. Some were handed to him retroactively which could never have the same respect afforded to it a winning it outright. On top ofthat his other win was at a canter as the bigger rivals had either been ravaged or relegated by the scandal.
He was a success of circumstance rather than ability. His true test is at City, which he doesn't seem to be doing amazingly well at due to his (or at least what appears to be) crippling fear of defeat.