Since its still the same game even with differences it stays under the same. We did the same with Wonder Boy the first one. It would be only a different thing if you would submit both under the same category.
go on speedrunlive.com to find the tools to bring your game on streaming. Its mostly OBS and Livesplit or another timer. Good Luck :)
Hey Dickson, some games have any% and any% glithced (see Wonder Boy in Monster Land for example). I actually cannot tell you the difference. The main reason mostly gliched works is that with some controllers from Brasil you can press Left & Right at the same time (as you mentioned). I can give the example of the Game Alex Kidd in Shinobi World for example where this is a seperate Category there.
Since I am not the creator of these Categories you can always hit up Kaddath, he is the expert in the Glitched Wonder Boy Classic runs. But its better to seperate runs like this since not everyone has these special controllers.
I recommend the Kega Fusion but I am not allowed to tell you where you find the emulators and the roms. But you should find them easily. Good Luck and hit me up if you have any questions.