If your argument is that watching violent scenes on television is desensitisation and is a bad thing, would you argue for censorship of the same in books? If not, what is the difference between a gory scene in a book and a gory scene on television? Why is one media worse than the other?
How about classical works of art featuring horrible scenes from ancient mythology? (Goya's Saturn Devouring His Son springs to mind - best you don't google it, OP). Should these be censored? If not, why not? It's fictional gore and violence dressed up as entertainment for the masses to view, just like GoT. Shall we burn Caravaggio's David and Goliath whilst we're at it?
How about non-fiction documentaries and history lessons? Gore is gore is gore, whether it's a real soldier dying or a fictional character. What makes one OK and not the other? Desensitisation is desensitisation, whether it comes from fiction or from history.
GoT isn't history, nor is it high art, but if your argument is that it's horrible things dressed up as entertainment, well there's a lot of that about. In war films, books, paintings, documentaries. GoT is the one which happens to be popular at the moment, that's all.
I would hope we're a little more mature than condemning something to the censors because we don't like it. I personally can't understand why anyone would find the Saw films entertaining, or indeed almost any gory horror film. That doesn't mean I think they should be removed from public view.