The station would be to the south of Lancaster's city centre station.
I don't think I have ever heard any calls for it, there is a sufficient local bus service to the area. Although, there may be a case for a station serving south Lancaster, the University and Galgate. Indeed, the WCML runs parallel to the A6 (and the road junction leading to the Uni campus)
The closest thing the area has ever had would be Galgate Station, serving the village to the south of the University. This closed in 1939. Although, Galgate isn't a particularly large place.
There is also the major issue of what services would stop at the station. I very much doubt the DfT and Virgin would want to stop long-distance express services (London/Birmingham - Scotland) at the station, this also includes TPE's Manchester Airport - Scotland runs. In addiiton to the daily infrequent handful of Northern stoppers from Preston to the Cumbrian Coast, that just leaves TPE's Manchester Airport - Windermere/Barrow, which again is not all that frequent and may not prove particularly useful.