This claim didn’t reduce access to media, this isn’t censorship as they couldn’t care less about the actual message or tried to block it on political grounds.
This is HBO likely not being familiar with obscure British legislation as some others have pointed out they had to use dogs instead of actual SCTOUS footage as there is a US law that forbids footage of the Supreme Court from being used.
The fact that you even consider this censorship only proves you likely never experienced what true censorship means.