Carroll seems to believe Boltzman´s brains are not possible, to put it simplistically, he has offered a talk on his take, that deSitter space will not produce quantum fluctuations , for which he was even teased by some of his collegues.
Not sure how the parody would go, Boltzman´s brains are thought to be unstable which would be a problem for establishing bonds, loving, and in general, living meaningful lives, which is part of the argument for embodied minds, being desirable.