[munk-a]

That first argument just sounds like bullying and may be anti-competitive business practices. IANAL but I think refusing a specific person's access to your product specifically because they refused to sign a separate contract with you would be seen as a pretty clear case of you abusing your market control and probably some form of coercion. I'd love to see FB declare that - but it's much more likely they'd stick to "Oh, violated our TOS for some reason".

[TeMPOraL]

"Oh? What?... Oops, The Algorithm banned your fanpage because it was flagged, wait, let me check, ah yes, multiple reports of trademark violation on behalf of... Meta? Oh that's us. I apologize, it seems our employees were ever so vigilant but didn't know your app is a thing. An innocent false positive, nothing more."