Voluntary “censorship” (not being shown visceral media you don’t ask) and censorship for children are very important.

Bad “censorship” is involuntarily denying or hiding from adults what they want to see. IMO, that power tends to get abused, so it should only be applied in specific, exceptional circumstances (and probably always temporarily, if only because information tends to leak, so there should be a longer fix that makes it unnecessary).

I agree with you that children should be protected from beheading and extremism; also, you should be able to easily avoid that yourself. I disagree in that, IMO, anonymous accounts and “free” websites should exist and be accessible to adults. I believe that trusted locked-down websites should also exist, which require ID and block visceral media; and bypassing the ID requirement or filter (as a client) or not properly enforcing it (as a server operator) should be illegal. Granting children access to unlocked sites should also be illegal (like giving children alcohol, except parents are allowed to grant their own children access).