I don't think there is much room for topical satire at the moment. I suspect a cringeworthy first programme which will subsequently be pulled from the schedule.
I don't. This reminds me of when Charlie Brooker stopped doing his Wipes because he was too busy, and people on the internet kept saying "Well, the news has been so bad this year it wouldn't have been very appropriate". But there was plenty of comedy around in World War II, much of it about the news, and however bad the current situation gets, the news surely isn't going to get as bad as it was then. People wanted comedy and they found joking about the situation very cathartic.
If you can do a comedy show during the Blitz, you can do one now. There's plenty to talk about, and be funny about, five minutes on Twitter will illustrate that. HIGNFY has been on air when there's been relentlessly grim news in the past, they managed it then.
It's like when James Brown, the former editor of Loaded, launched his lad mag Jack in 2002 and made great play over it being "the first post-9/11 men's magazine" because apparently the world had changed completely since 9/11. But it turned out lads just wanted bums and tits like they always had.