Isn't this just the BBC taking the piss. Rather than choose just one potentially tasty tie, they are scared that the larger league team will be 3 up after 20 minutes making the rest of the coverage meaningless and folk will turn off. Meanwhile a whole host of genuine non league supporters are inconvenienced - the very people the early rounds of the cup are supposed to cater to. Wasn't going anyway but for the likes of Rocky, gutting.
What makes the FA Cup special to clubs at this level is that it gives them the opportunity to get fame and money that isn't normally there.
Here we are getting national tv coverage, and a fair chunk of money to go with it
You could also argue that they are spreading the coverage and money around more which is pretty good in my view.
Frustrating for those who now can't make it of course.