In the end of season 7, Daenerys's dragon, Viserion,
Does it make any difference in that case?
With the release of the official script for Episode 7 we see that he is indeed a White
A massive chunk of the Wall breaks free ahead of Tormund. The ice dragon glides away, and we get our first clear look at him, and at the Night King on his back. He's done the same thing to Viserion that he did to Craster's sons. Only those were babies, and this is a dragon.
Game of Thrones, Season 7 Episode 7, "The Dragon and the Wolf" - Official script
A White Walker is created by the Night King placing his hand on the subject, like with Craster's baby boys:
Then compare the eyes of the White
Walker Crawler to the wight's eyes below.
As you can see a wights eyes are a lot cloudier than the sharp blue of a White Walkers.
Now compare those of Viserion's:
As you can see his eyes more closely resemble a White Walker than a wight.