For many it's not the idea of the price going up a bit, it's the idea of the thing existing in the first place. It's outdated and doesn't benefit anyone, us or the BBC.
I think the benefit of the TV license is that it ensures there is always a high-quality TV network broadcasting. The BBC isn't (in theory) affected by the economy in the same way that a private broadcaster is, the amount of money the BBC have to play with is always constant and therefore the BBC can throw bigger budgets into their programming.
A program that is on ITV relies on the advertising revenue to dictate its level of quality, whereas the BBC for the most part can maintain a level of quality at all times.
Though quite obviously the BBC can change its outlook and can cancel programmes or alter the budget as we are talking about here for the F1.
Whether what the BBC produce is what you consider high quality is obviously subjective, but personally I think they do a good job of providing us with a good range of different programmes for different tastes to a very good quality.
So I don't agree that it "doesn't benefit" anyone, its certainly not a fact in any case.
I can see why people don't like the idea of the TV license, but I can also see it has advantages.
On a different note, I also don't believe people that claim they simply do other things while adverts are on or that they always remember to fast-forward the adverts. Lets face it, adverts are a nuisance that its nice to be able to watch something without having to mess about like that. Sure, its not a major issue, but it
is an issue.
I hate everything turning into a constant fight to ignore adverts, they are everywhere. Youtube now almost always forces you to constantly click to ignore adverts, we constantly have to "press to skip" almost everywhere now, its a small amount of singular efffort but it adds up to being very annoying. It would be great if I could live advert free, sadly this is impossible. And its not that I can't ignore it all, its just such a breath of fresh air when you finally experience something without any commercial advertising.