Brilliant comics age, just like everything else, and Jimmy Carr is a brilliant comic.
He's one of the smartest, funniest, most inventive British comics of his era, but the nature of being sharp and inventive is that it has a shelf-life. There are still flashes of the old brilliance but a lot of it feels like treading old ground. That's not to say that he can't get back to his old level of brilliance, because great comics can adapt and reinvent themselves.
The "I'm so edgy" shtick is just cringe, and pretty standard for many comics whose glory days are behind them. Just make sure you have the best material, and get on with telling the jokes. It's not the 1950's and the only people who are "offended" are newspaper columnists who are only pretending to be for adclick revenue. Truth is, most people aren't actually watching - they have their own lives to get on with.
If anyone is genuinely offensive, they won't get a Netflix special - the comic genius of Jerry Sadowitz is an example. It's tough for ageing comics but it is possible for them to revive their act. It starts with them admitting to themselves that their act needs reviving, not deluding themselves that they're an "edgy" 51 year-old.