I am not from either country and not even from the M.E., however, these Islands ; from the antiquity up to today, have Persian names.
Google it if you dont believe it.
So if they belonged to UAE, they would have had an Arabic name....no?
Don't think it is quite that simple. Iran claims Bahrain as Iranian, opposite side of the Gulf to Iran and has an Arabic name. Think it probably has more to do with history than geography, as in the case of the Falkland Islands, Gibraltar, the Canary Islands etc. etc.