"Loosely", ha. I would argue only thing they share is the one word in the title.
It's a great book. It's interesting (in the context of this discussion) that it's a satiric dystopia in which the main character spends most of the book in a drug-induced dream about being in a future utopia that turns out to be a Huxleyian dystopia that's even worse than the present day.
It's not clear to me that this form of dystopia is really all that distinct from the Huxleyan one-- the virtuality is just a more effective soma.