For that is the first point to counter your argument: the copyright industry is not mainly looking out for artists, it is looking out for itself and its benefactors. Ask any musician what percentages of royalties they get from their song, it's a joke at this point. Live performances are the sustenance of musical artists today.
That is not to say that I don't defend the rights of artists to their work; I do. But that isn't what this battle is about, this is a battle against the same industry that finds it pertinent to send out mass blackmail letters to families, to single mothers, to depressed people. It is surely going to be one of those things that we look back on in decades to come and go "what the f--- were we thinking?"
Finally, you have to take a wider view in these matters than saying "there is some configuration of content filtering that I find acceptable," because once you have content filtering laws in place, people who you disagree with can co-opt this into a totalitarian state. You do not know who will have the keys to the kingdom come tomorrow.
Now, I'm not a supporter of current copyright laws as I think they are absolutely ridiculous as is, however, I disagree with your statement. It all depends on who is doing the filtering. Done correctly, content screening is a part of a free and open society. And with some care, sometimes it is required.
I am also going to assume that you are more referring to the entertainment industry than the "copyright industry" since the topic is content instead of, say, logos or toaster design.
If I had children, I'd really want age-appropriate filtering to be available and I understand someone wanting "wholesome" content for themselves. I simply don't want them choosing for me and I am not the one to choose for my spouse. In most cases, as long as I have control over what sorts of content filtering I'm good. I do think society should be free from rhetoric that puts others in danger (anti-vaxx) or that calls for dehumanizing or wiping out others or their religion in most cases (white supremacy, for example). I don't think we should be so open that our brains fall out, in other words.
But more to the point: All of that entertainment that was listed was made by someone. Likely many someones. So was the music people listen to in a store. And the art people look at in restaurants and people's homes.I completely understand people wanting to make money from their own work. When there is absolutely no screening, you get places that steal others work - music, art, entertainment, and so on - and make money from it. This might come in the form of making purses and coffee cups with art or someone getting taking your music and performing it for money. It is a real issue - and the "big industries" are not innocent of this. So yeah, if it is technologically possible for an entity to filter content based on these things, I can understand requiring it. Beethoven might not have been able to stop folks from memorising his music and playing it in a foreign land, but he would have had a chance with today's tech.
Content filtering itself isn't bad - and I post this on a site that filters content to a point - and it doesn't make the "copyright industry" bad. The copyright laws make the copyright stuff bad.