Considering recent polling, if most Americans think this administration is covering up for the President in relation to his friendship with Epstein, and he seems reluctant to tell the truth about whatever he knows, it may be better for the President to resign now because of the scandal he created.
It simply does not seem likely that this President could ever regain the public trust now, because it would be impossible to change the trajectory of a problem he created himself with years of dishonesty and years of bad behavior that is all well known by everyone. Resignation is the best option.
Since he has lied so much about so many things publicly, it would be a stretch for anyone to believe him now, even if he was hooked up to a polygraph machine. It is really a serious downside to behaving so poorly and without any integrity for so long, that nobody believes the President at all now.