It's not about being "easily offended" or being a snowflake. Of course we've all laughed at jokes we probably shouldn't have in the past but there are some things that aren't suitable to joke about and that's one of them.
Let's recast that "joke" to a different context. "Yeah the famine in Afghanistan/war in Syria (or Yemen) is terrible but at least there's fewer Muslims". Or "Yeah, slavery was awful but at least there were fewer black people to migrate from Africa". Or even the joke he told, but substituting Jews for Roma. He'd probably be prosecuted under Hate Speech laws and, if he'd said the first one, he'd probably be under armed guard for the rest of his life.
Between 200,000 and 300,000 Roma and Sinti people were murdered during the Holocaust. The night that the so-called Gypsy Camp in Birkenau was liquidated, in early August 1944, was apparently one of the most horrific, even in a place where unimaginable horror was a daily occurrence.
To think that Carr is effectively saying that a whole group of people who, due to the parents they were born to, aren't worthy of life, or that it's quite acceptable to murder them is completely off the scale. It's ot "edgy" and is far, far worse than suggesting young, healthy people don't need the vaccine.
No count we'll get the usual mealy-mouthed "I'm sorry if I offended anyone" apology. The problem is that the people it most offended were gassed and reduced to ashes over 75 years ago.