Theists often claim that it is impossible that the universe just randomly
I would have thought that the obvious theistic response would be that it is the existence of the eternal multiverse that is at issue. I.e., why are there any universes rather than none? From what I've read of Hawking's response to this, it does not seem to me to be very impressive. As usual with these things, it fails to take the motivations of its opponent at all seriously.
None of that is of course to say that the theistic argument referenced is any good.