I mean it kinda sorta did. like some half-port-half-original multiplayer thing, iirc
but still, nobody ever remembers super mario bros. or its respective cast based on this weird arcade thing (that was also just an american only release, afaik). it isn't like pinky (pac-man) or invader (space invaders), where they're so deeply ingrained into arcade history that equating them as such is second nature
though to that end, tetris is also weird. since I believe that was a pc debut?
idk. I've no problem with the arcade set designs, though conceptually, the entire set is kinda a ****in' mess any time I really stop and think about it
so really, the best manner for me is just to think of them as a retro gaming set, I guess. not that the word 'retro' has much of a hard set meaning anymore. with how much the bar constantly shifts for what counts as 'retro', due to the simple passage of time and new things becoming old in the process. but it's abotu the only think I could think of that sticks consistently (could've been 80's gaming set, but lol space invaders being a '78 release)