Does an accretion disk resulting in two stars create more gas giants? I would think so. Gas giants are much easier to see just because of size of the light interruption when they transit the star(s).
Not to be difficult or anything, but stellar formation has never been seen, so the accretion disk is merely a hypothesis. :^)
My guess is, what we're seeing is the result of capture, and a binary star system would have a leg up on other systems to perform capture. OTOH, Jupiter's got loads of small moons, and many of them are in retrograde, considered diagnostic of capture.
Out of the 1776 X-Planets topics (and, may I say, wow), here are some that are probably already also on the Catastrophism list: