Careful, it does depend on the game, though. Some games, like most games by Atari Games in the mid 80s to early 90s, have an action button double as a start button. Look at gauntlet, toobin, and 720; the magic, fire, and kick (one player) / jump (two player), respectively, action buttons are also start. So if you map your coin to the same as the start button, the coin will also be activated by playing the game.
Most other games don't dual purpose buttons, so should be okay.