I can't believe we're having this discussion honestly. Why would you ever want to play a mobile game over House of the Dead, Marvel vs Capcom, virtual on, or DDR? These games can still be found in arcades across the country.
I'm also pretty surprised.
As you said though, the loudness and chaos of arcades IS the immersion. There is nothing like playing an arcade fighting game in a close match with some random, then suddenly hearing cheers behind you as you get the KO because while you were playing a crowd of people formed to watch. Same as watching two guys try and break a high score together, or just goofing with your friends playing a co-op game.
There's a reason Iron Galaxy's recent games like Darkstalkers Collection and 3SOE have virtual arcade machine modes.
Also most arcade games were skill based, meaning if you got better at the game you paid less. You can't get better at arbitrary waiting times or borked RNG lotteries that are used in mobile phone games. Also as everyone has said, controls make a huge difference. Touch Screen is inherently bad for gaming. As for graphics, arcades might not be the bleeding edge anymore, but they are better than a mobile phone game made for the lowest common denominator.