OK so what does it matter if POTUS banned the guy or not? I saw that he did. But ultimately what does it matter? Guess I am not understanding your angle.
Trump banning Epstein would not leave a paper trail, unless there was a legal restraining order (which I never read). So it was most likely a verbal banning; so managers at Mar A Lago would know, Trump would know, and Epstein would know. Where would one even dig to find more info? I have no idea.
IMHO most likely Trump did ban him. Until and unless more info comes out, there is not likely to be some old headline about it.