If I connect to Freenet, will I be offered images of abused children? ... I would assume the answer is no.
Well, child abuse is one of the top excuses for governments to demand to be able to spy on everyone.
Once we've seen a complete ban on government use of violence because it sometimes kills innocent people, then talk to me about how private communications is problematic because people use it for child porn.
And for the highest security in Freenet (the friend-to-friend mode), you need to have friends whom you trust not to go to lengths to spy on you — friends would be able to run statistical attacks if you transmit large amounts of known content. And such trusted friends are what people who want to access child abuse content do not have.
¹: Example (in German): https://www.youtube.com/watch?v=iItLpwkQMUQ
You may not, but many of us actually do. Naturally not every political opinion, and it depends on how you express it, but still.
> At the moment, freenet has a bad reputation for hosting very illegal content.
Why is that a bad reputation? Isn't that part of the point? ... Perhaps you mean unsavory, or immoral, or socially detrimental.
> but dont be suprised if the cops pay closer attention to you
Now that is a significant point in its disfavor, yes.