Hmmm, yessss, that does make sense, except…
Sometime in the late 70s/early 80s (I could look it up on the IMDB, but I won’t), we were subjected to two (2) Gilligan Island TV movies; the gist of the first one is that they did get off the island via raft (I believe), were rescued, and tried to integrate back into life with rather poor results. The climax of this show is that they have a reunion, take a boat ride on the Minnow II, and yes, of course, get shipwrecked on an island where Gilligan finds the signboard ‘USS Minnow I’ (this one little, but ridiculous error, marking it Minnow I!, peeves me to this day - I think we could have handled it if he found a board just saying Minnow).
The next movie was a terrible parody of Fantasy Island or something, wherein they quickly got rescued again (I think this time via Gilligan finding a Japanese WWII airstrip, and somehow flying in a Zero or something, and so turning up on the Navy’s radar - no, I don’t know why they didn’t find this airstrip before, maybe the natives that periodically appeared in TOS guarded it),
so this time they pool their money and create a resort on the island, finally tapping into that phone cable which washed up in the TOS (this is the only other thing I remember about that - they had only one phone, hidden in a fake palm trunk behind the bar).
So there, with that info we are forced to accept the first thesis of that site, which is… It’s just a stupid show