Names for openings differentiate between different moves and, crucially, different positions on the chess board. The same moves played by each side but in two different orders resulting in the same position result in the same opening by transposition.
However different moves resulting in different positions give rise to different openings. It makes no sense to call two entirely different positions arising after the first two moves by the same name. To do so defeats the object of naming.
What you do get is family names where similar moves are made which, although they result in entirely different positions with different middlegame plans, have a common feature. An example would be the Classical Dutch (f5 plus e6), Leningrad Dutch (f5, d6 and no e6) and Stonewall Dutch (f5 plus d5).
Perhaps you should start playing the "Allure Bongcloud" as distinct from the "Classical Bongcloud"?
[Title "Classical Bongcloud"]
[Startply "3"]
[fen ""]
1. e4 e5 2. Ke2
and
[title "Allure Bongcloud"]
[Startply "3"]
[fen ""]
1. d4 d5 2. Kd2