At its core, the Gilligan’s Island model relies on the lagoon as its main source of conflict – something floats in, the castaways have to deal with it. The lagoon remains constant, the things in it change. Most ship-based Star Treks are anti-Gilligans Island shows in so far as they are what’s floating into someone else’s lagoon. They remain constant, the lagoon changes.
If anything, I would say DS9 is the better Gilligan’s Island analogue, with the wormhole acting as the lagoon.
Service disabled Veteran-owned, woman run small business designation coming to an Etsy shop turned DoD contractor near you.