[Repro] Empty object with a station, a script that has Interact on it for entering station ala UseStation, and a box collider for interaction. Add an enter and exit transform to the station and move the enter location away from the station's position. Set the station to "Mobile" Player Mobility.

Example https://streamable.com/zo4d0i

I have attempted with multiple locations for the enter transform and the resulting location varies wildly.

Immobile works fine as expected.