Well, not totally innocent. They went too far in a bit of comedy banter last week, and have rightly apologised. But the reaction from both their employers at the BBC, and a number of licence-payers, has been both clumsy in inappropriate, in my opinion.
The radio show in question was pre-recorded, which is a wise precaution given the nature of the presenters. The same is true, for the same reasons, of BBC shows such as Have I got News for You?, Never Mind the Buzzcocks, and The Graham Norton Show. Prior to broadcast, BBC editors and lawyers are supposed to check the content. This is where the failure occurred.
Only two listeners complained when the show was broadcast. Thousands have complained since, some of whom, by their own admission on air, have not heard the 20-minute routine. Seems to me more like a chance to beat the BBC than to be outraged by something they heard.
I assume that after a few days cooling their heels, both presenters will be back on air, and we can get back to reality. About time too.