I'm in the US, and although there are lots of things broken with the American media and government, I have full access to foreign media from anywhere in the world; no internet sites are censored.
So yes, I have independent media, because I can access the entire world's media and choose what I look at.
I’m not sure how you could reach that conclusion that American media is independent. There is unprecedented political influence on social media (which actively censor civilly expressed contrarian opinions) and conventional media in the US, with increasing calls for state censorship by US congresspeople. It’s hard not to see the trend; it’s only a matter of time.
But because at least the American government doesn't ban and censor websites, I effectively have independent media because I can look at any non-American media that I wish.
That's why I cautioned to not wish banning or censorship upon your own local law, wherever you are. If they are allowed the precedent of banning Facebook, they can also ban Al-Jazeera or BBC or DW or Wikipedia or whatever you wish to actually look at.
There are active calls by many Democrats for state censorship of websites like Breitbart, which, although I'm not a huge fan, do not call for violence of any sort. Also, I don't think it's fair to simply draw the line at "there are no laws banning specific media sources". It's hard to deny at this point that politicians are actively influencing and engaging with tech executives who are performing censorship. At this point, it's also a little difficult to claim that this is a trend that will change course or not accelerate.
So yes, I have independent media, because I can access the entire world's media and choose what I look at.