It says right there that IAC confirmed he sent the messages. The rest of this honestly does not matter at all, it's just kindling on the fire. Those alone are enough to prove that he sexually harassed her. If you're honestly trying to argue that we 'don't know all that facts' and that 'we shouldn't jump to conclusions' then I feel bad for any women who have to interact with you because you're probably a fucking scumbag too.