A cease and desist letter like that isn't worth the paper its written on (or bytes it is sent with). Lucas can post links to whatever studies he wants. Unless he continues to directly contact someone after being told not to it's not harassment. Even if misinterpreting scientific research were an actionable tort, posting a link to one is assuredly not.
If Eisenberg is smart he won't waste any time engaging and frankly should be left alone. Given that empty threats (C&D) didn't work there is absolutely nothing he can do to stop a lunatic from being crazy and screaming into the void.
I'm actually not sure that you're right.
I'm sure you know more about this than I do, but if a criminal is trying to use research to set up his crimes, to entice his prey so to speak, I'm not certain that said researcher wouldn't have a legal basis to try and keep his legitimate name out of the Predator's mouth.
Similarly to if I have a television show, or a commercial, and I claimed something on my television show, some questionable claim or action, is endorsed by Coca-Cola, or endorsed by Microsoft, I think they would have some grounds to get it stopped.
At the very least, they would resent the association with someone attempting to do something on the borders of legality, something that certainly looks bad, and looks bad for their brand so to speak.
Actionable? I'm not certain.
I don't know the details of the cease-and-desist that Lucas was sent, obviously, but I was under the impression that Eisenberg was trying to stop Lucas from using him as a legitimizing basis to try to have sex with younger women.
Is it illegal to use someone else's research as a coercive method in trying to lure people? The fact that Lucas clearly hasn't stopped name-dropping Eisenberg in this fashion, always in relation to an attempt to legitimize his sexual Conquest, is where the repeat instances of the offense would possibly become criminal, I think.