Netflix and the BBC are apples and oranges, really. One is a public service broadcaster with a very specific remit and charter doing local, national and global radio and television across dozens of channels and the other is a subbed global streaming service that doesn't make nearly as much content as appears on the surface.
How much should the old dear (though presumably not that old otherwise she'd be getting it for free) who listens to the radio and watches BBC News everyday pay? Or a young family who watches CBeebies (presumably along other things as well)?
I'd also question whether Netflix really is putting out as much quality as you claim. When was the last original show that they made that you watched and thought was excellent? The Queen's Gambit? They buy up lots of quality stuff, the BBC's stuff included, but I don't think there reputation is nearly as warranted.
The BBC also plays a role in developing British talent, working with smaller British production companies, that benefit the wider ecosystem.
I don't think the organization is perfect, but I think sacking it off because Gary Lineker is paid a competitive salary would do so much damage to the rest of the creative and cultural sector and the diversity of content available to us. I'm willing to see what Nadine has got to offer us, but, as with much of the Johnson government, this is very short on policy detail.