In theory yes. What you get in reality is a left-wing group of journalists concentrated in a very small well-off area in Stockholm that does not in any way represent the population at large. Keep in mind that the employees of SVT are even more leftist than the average journalist. Which is fine, as long as I don't have to pay for it.
This means that I can't trust SVT to deliver "independent" news more than I can trust any other media source in the country. It does not matter at all to me that they are financed by force instead of ads.
Just because they lean left does not mean they are not independent. Independence does not necessitate impartiality. The point still stands that even a left-leaning media adds value to the overall media system by balancing the overall media system. That does not mean every single media outlet has to be balanced.
Just because the given media outlet's political views do not coincide with yours does not negate its cultural function.
I certainly disagree with the BBC regarding a number of political issues, yet I am still glad it exists.
This means that I can't trust SVT to deliver "independent" news more than I can trust any other media source in the country. It does not matter at all to me that they are financed by force instead of ads.