mike wightman
SOC-14 10K
Assuming your assumptions are correct - which of course they are not. Put another way fuel skimming from gas giants is magic tech too, so the magic tech of gas giant skimming can probably cope with the requirements.and that's only to get one ton of methane, which will give you 251.3 kg of H2, or 1/4 DTon. 2 days per dton of fuel, in short.
Personally I don't see atmospheric skimming as a viable method for refueling (from any world with an atmosphere) for a whole host of reasons, but the game allows it.