Yep. If it was put down on a runway it has to be long enough for takeoff, in good enough condition to handle a landing and takeoff of a commercial widebody jet, and provide a suitable place to conceal the plane from aerial surveillance. I don't think the fuel needs to be onsite; it could refueled over time.
The abandoned runway in an uninhabited island doesn't work for me. If it were parked it has to be somewhere on the mainland. And if there were a mainland site that meets those criteria, how do you fly the plane there without having people see you getting it there?
The more I think about it, the more implausible the "stolen" aircraft theory seems to be. Or if it was stolen, perhaps it was taken by underwear gnomes.
Those are the sort of runways you arrive at with enough fuel for the return leg as Jet-A is way pricier there than at your main hub airport.
Even say American Airlines flying MIA > NAS > MIA will fuel that plane in MIA for the round trip and maybe top off in NAS if necessary. The fuel coming by pipeline into MIA is way cheaper and way easier to get there.