OK, by my calculations assuming the following:
orbital distance: 11.04 AU
primary star mass: 1.35 sols
primary star luminosity: 4.34 sols
ice body mass: 204.625 earth masses
ice body radius: 28382 km
ice body gravity: 10.3258 G
therefore ice body density = 12765 kg/m³ (which is ridiculously high for an icy body, even with self-compression)
with all that, the atmospheric minimum molecular weight retainable by the icy body is 0.05, which is more than enough to retain hydrogen and helium (which it would be surrounded by in the protostellar nebula).
It may not automatically suck up things, but as it grows in mass while it's forming it will be able to capture more of the gas around it as it orbits the star, and if it can retain hydrogen and helium (which it can) then that will accumulate on the protoplanet, which makes it even more massive and so it "snowballs" into a full gas giant.
For there to be a supermassive icy body (which I should point out is itself 2/3rds the mass of Jupiter!) without a thick H2/He atmosphere is very unusual, even more so since it has a very low mass "gas giant" around it that did (which the GG can do if the gas accumulated around a solid body of say 12,000 km radius). It really doesn't make any sense, physically. That ice body should be a large gas giant at the very least.
