Yes I would. Love the radio dramas and amazing radio like History of the World in 100 Objects. They must be funded from the licence fee, they don’t get made for free.
Love the Sounds app and iPlayer and have never had a problem with them.
Love the drama and nature programmes, yes I know some good ones on Netflix & Sky too but Sky is way more expensive!
Also agree with the PPs who have said about education programmes, and what about the really good children’s dramas, Worst Witch, Mallory Towers anyone? Their standards for anyone making children’s programmes are very high, not like some of the cheap American cartoon c**p on other channels.
Also, as previously mentioned, the proms and I’d add the Shakespeare plays, the programmes like Great British Sewing Bee, Antiques Roadshow, Midwives, Poldark, War and Peace, Les Mis et al. And Strictly of course! 
Do you really want to chance losing the variety and richness of all that?