I believe you’re correct. Quantum entanglement allows 2 entangled particles to have the same “information” regardless of how far apart the objects are. I have no clue how or why it works, and am not sure anyone else does either - but it’s not teleportation in the Star Trek sense.
They do not have the same information. They have complementary information.
It is well understood, and has been since 1937. No physics graduate student can pass a doctoral candidacy or comprehensive exam without being able to explain it.
It is teleportation in the Star Trek sense, as explained by James Blish in the novel Spock Must Die in 1970. [Blish wrote a number of Star Trek episodes and adapted the teleplays into anthologies in at least two books.] His very nice description of how the teleporter works, and how it involves the material destruction of an individual in the transporter room accompanied by his material reconstruction at distance is both quantum mechanically correct (at the level explained) and metaphysically interesting.