Vyvyan Basterd
Adventurer
No it just follows logically after 3rd, which may have been built around AD&D, but by name could be the extension of its own namesake as the 3rd iteration of D&D after OD&D and BECMI as 1st and 2nd editions of D&D respectively.
That wasn't the intent. They specifically said they dropped the Advanced from the name for two reasons: 1) There was only one version of the game in print so there was no need to differentiate anymore and 2) they thought the term Advanced might mislead new players into thinking you needed prior experience to effectively play the game.