So Appelbaum can claim that he didn't exactly mean "false" (in a sense of "never happened") but "not sincere" (as in, "somebody instructed those people to tell that now, you know, the nasty governments that are after me") if presented with the proofs later.
In short, read carefully yourself, take the dictionary and consider what was actually written and what wasn't. My impression, Franklin Bynum correctly recognized one weasel word
> I can’t directly say the allegations are false.
Then, a few lines below, the author quotes Applebaum as saying:
>> I want to be clear: the accusations of criminal sexual misconduct against me are entirely false.
I’m not taking sides here (it’s important that possible abuse is brought to light!) but this lawyer is straining his credibility.