Not Swiss here(it's the same kind of tax in Austria), and I hate useless taxes that incompetent governments shove down our throats, but I support the idea of citizens having an independent, impartial and transparent publicly funded media, and unfortunately that costs money to fund and maintain either through direct or indirect taxes, but either way you'll still be paying for it one way or another from the state budget.
We can't have a functioning democracy expecting citizens to make informed decisions on important things like Brexit, when their only sources of information are controlled by big-ad-tech like Meta or Google and Warren Buffet.
The only question remaining is the traditional "who watches the watchmen", as in what assurance do we have that the publicly funded media is truly unbiased and independent and not paddling its own biases and political agendas.