I've noticed this a lot with anti-BBC folks. They have some ideological issue with it but that isn't a popular position so they go for more niche arguments like "The entire historical catalogue isn't fully available to watch on demand" or "They axed BBC <insert number> from broadcast". Arguments they don't actually care about. It's just a way to snipe at the BBC.

As you've pointed out, if someone loves being able to watch BBC Four on broadcast TV, they're not going to be complaining about it's non existent axing.