That's not true. Wilkins had as much right to share that data as Franklin, and everyone seems to forget Raymond Gosling who actually generated the data.
This is the really important part. The debates about Franklin, Wilkins, Watson and Crick is like a debate about which A-list movie stars deserve the higher paycheck. Yeah, sure, the hagiography of particular individuals will motivate some people below them to dream big, but it's also demotivating to others who know they'll never be recognized as elite.
This particular issue is quite complicated. See: https://en.wikipedia.org/wiki/Photo_51