The second one is more just in the context of public TV being a public service: society pays as a whole, instead of having some unenforceable, incomplete, broken kludge to make only people that watch it pay, like for a commercial service.
Ideally the individual cost is very low, so it’s not outlandish to have everyone pay, especially as even if you don’t watch it, you benefit from the diffusion of qualitative culture and news in society.
By not making everyone pay, this public service has to compete for attention with commercial ones and risks drifting away in quality.
The counterpoint is that such a state-owned channel could become a propaganda tool.