A quick online search (I don't use G$$gle) reveals that there are indeed proposals to reopen the branch. There are numerous references to this; the most recent I could find (Nov 2017) was on Wiltshire local radio station SpireFM's website:
https://www.spirefm.co.uk/news/local...r-ludgershall/
I shall try to find something more recent, and more definite.