Of course not! Reddit has literal rape fetish forums and image sharing. KiwiFarms has free speech. People may not like some of the speech there but it's not a site where sexual abuse images are traded.
Anyway, a little summary of the current situation which might be of use / interest to some. I'll keep it short.
Ofcom sent a letter to Null (Josh, site owner) the other day as part of their new policy and powers. Copied below.
Null replied the following, which is unusually short and civil compared to previous attempts to take down his site:
"Hello,
I am pleased to inform you that I am American and nobody cares about your wretched, dying nation - including the people living in it.
Kind regards,
Joshua Moon"
After some further consideration he decided to do something on his end though to protect British citizens. Anyone visiting from a UK IP address will now be greeted by a message (you can try this) explaining the situation. To proceed to visit the site itself a UK user must either use a VPN (which actually isn't hard though the good ones have a small cost) or use the TOR network. Which is a sort of sub-Internet which works quite well. Sometimes people try to describe it as some sinister "Dark Web" but in fact it's pretty easy to use and has legitimate uses.
So this is a sort of self-censorship, but on balance I think this is good because it makes people aware of the situation and nudges people to understand the tools they can use to get around censorship.
This situation is still quite new and developing. The "Risk Assessment" process that the UK govt. is now requiring sites to comply with has a few problems to it. Whilst there may be some positive intent behind it (or not depending on how conspiracy minded you are), it has the effect of creating significant barriers to entry in that big players like Reddit can afford the paperwork and duties but smaller sites cannot. So it's good for Big Tech. It also, depending on how you read it, can make site owners legally responsible for what their users post. I'd be interested to know if MN has received a notification yet! And finally there's the issue of what the government considers "risk". Which currently seems to include things like calling a man a man.
Hope this very short summary of the situation is useful.
EDIT: The images I pasted in seem not to have appeared. Not sure why. You can find them on the Farms easily - the thread on this is currently featured there. If anyone is uncertain about VPNs and TOR, I'm sure someone can help.