Maybe it's to accomodate those coin doors with bill acceptors with more necessary storage space.
I'm sure that is why. The Triple Entropy door that is used in these cocktails accepts a bill validator. But even without the bill validator, the monitor still barely clears the coin box. The original Midway cocktails used a wooden enclosure to house the coin box and was much narrower, so that's how those cocktails could be so much smaller.
I posted the info because I've seen people speculate that these cocktails used a 25" monitor and that's why they were larger. I can tell you that there is no way a 25" monitor would fit in here! The hinged monitor panel is only about 1/8" wider than the frame of a 19" monitor, so you wouldn't even be able to open the cocktail if it had a 25" monitor in it.