Second, not that this was your intent, but that's such a poor example to use in pointing out the fallacy that I can see why someone might see it as "hateful", which is against the TOS, whether or not it should be is a separate discussion.

As a side-note, pointing out a logical fallacy doesn't invalidate someone's argument, ironically this is itself a fallacy.

It becomes a fallacy when you say Opinion X is wrong because its proponents used fallacious Argument Y.

I left Facebook few years ago. I can't really back it up with anything, but I have a suspicion that this is the main reason why people are leaving Facebook. Not concerns about privacy.

> that's such a poor example to use in pointing out the fallacy

That's a really common example to show the flaws in appeal to nature argument and pretty much the best you can make, because not many people support rape and murder. That's the point.

> I can see why someone might see it as "hateful", which is against the TOS,

And that's the problem. Just as I said, your intentions don't matter and if someone interprets it as hateful then you're out. It's completely arbitrary.

> pointing out a logical fallacy doesn't invalidate someone's argument, ironically this is itself a fallacy.

Sometimes it doesn't, sometimes it does. Depends on what the argument and the context is.