I haven't run Princes of the Apocalypse, but the one time I ran an Aboleth I tried to make pretty hefty use of their telepathy and ability to read minds. As soon as the players entered the chamber it made telepathic contact and knew their desires. Then offered them what they wanted because it is an ancient being with a racial memory longer than the gods and more than enough treasure.
I was able to get some good mileage out of it (got one player to betray the party and go NPC protector for the Aboleth in exchange for a chest full of platinum) and the NPC wife of one of the players became a GOO warlock that day at the urging of her new patron. It was glorious.
So yeah, if you've got a player with an easily exploited weakness, play with it. Aboleths are pretty mucht eh smartest, oldest, and biggest liars in the room, and you could potentially get the players to make a deal. it'd help if all that happened without them seeing it though, giant slimy fish monsters are hard to trust for some reason.