I removed it so as not to mislead users.
The village is not called وادي ثيب (Wadi Theeb).
There is a Wādī Thayb or Wadi Thaib; there is a Theeb Dam (which the local authorities transcribe with Thaib Dam); and there is a Jabal Thayb, but the town is not called Wādī Thayb. It is simply called Theeb.
To be more precise, the National Atlas of the United Arab Emirates indicates that the name of the town is Thēb.
In no case Wadi Theeb.
The wadi should not be confused with the town, although that confusion often occurs.
Since the name of Thēb appears with several different spellings: Thayb, Theeb, Thaib, when in doubt, I preferred not to translate it into Arabic, because I was not sure which would be the correct one.
In any case, I have no objection to adding the Arabic name ثيب , if we are sure that this is the correct form.
By the way: Not only does Mindat have no objection to OSM using their data (adding their reference) since they themselves use OSM data, as they point out on all their data pages (Most political location boundaries are © OpenStreetMap contributors). It would be wrong to use that data without citing Mindat, as you are doing, by keeping the alternative names that Mindat offers, removing your reference.