It's bad at expos, too, where games are on free play. I brought a Starship Troopers which allows up to 6 players, and saw a kid who didn't know what he was doing keep hitting start because he thought that's what it took to get the ball into the shooter lane. Needless to say, he added all 6 players.
I believe the option to restart with the start button only works starting on ball 2, you'd have to get through ball 1 on each player and at least get it to player 1 ball 2.
It's not just DMD games that have this reset feature, though. I know my Alien Poker has it... not sure about Gorgar. Special Force has it.