For example, one could argue that the binary data invites and enables you to display the illegal images, which is not "easily" possible otherwise (since it's probably packed data).
Your stated rationale is ridiculous. It's like saying internet invites you to watch porn or something, just because you can find ads about it online.
Your analogy is just as ridculous and wrong. The binary data is directly linked to the problematic content, aka the only use of the binary data is accessing the content. Providing and advertising the binaries implicitly advertises the game and its problematic content (since what else could you be doing with the binaries). 90% of the internet might be porn, but you won't see ads for it on every page and there are ton of other uses.
I am not saying I agree with this train of thought or the law in general (it's pretty stupid), but picky people could argue like this and as long as it's not a clear matter I would rather be safe than sorry.