They can't really win. Imagine the reaction here had it been Stephen Mulhern. Alan Carr is at least a new face for ITV.
But even Channel 4 are struggling to find any more uses for him.
Which is why it’s good if he reinvents himself on ITV, like how Graham Norton did when he moved from Channel 4 to BBC One.
I'd argue they were slightly different circumstances. AFAIK Graham was still doing alright at Channel 4 by the time he moved to the BBC (except for his failed Comedy Central venture in America) and the newly revamped Graham Norton Show wasn't the juggernaut it is now (even carrying over many features from his So and V show).
On the flip side, Chatty Man slowly faded away after a string of sub-par guests and features that weren't particularly funny, and various other projects Alan has done for Channel 4 was met with scathing reviews and/or poor viewing figures.
Regardless of your opinion of either comedian, it didn't seem like Graham was jumping from a sinking ship. Alan, even though he's a very capable performer under the right circumstances, still seems to be waiting for his clothes to dry.