They have runabouts and transporters so we don't need to devote an entire act to showing someone transiting from a space station to a planet in the same star system.
Sheridan jumping into the abyss on Z'Ha'Dum was just Gandalf falling in Khazad-Dum, going beyond the rim was Frodo going into the Far West, the First Ones were the Valar, the return of the Shadows was the Return of the Shadow, Mister Morden was Mister Mordor going around doing Nazgul things, the Rangers were the Rangers but also Gandalfs ("We stand on the bridge, and no one may pass"), the Narn were named after the Sindarin word for saga, the Minbari-ensouled Jeffrey Sinclair becoming a Minbari culture hero and turning the war against the Shadows was the half-Elven Earendil becoming an Elven hero and turning the war against Morgoth, etc. If anything, DS9 was the less blatantly derivative of the two properties. Most of the other similarities, an oppressed race that recently liberated itself, interference by their former oppressors, and an international space station were already present in the 90s zeitgeist if not TNG itself.