i tested your game on my oldest device, Sony Xperia Ray.
When i press the button there is a little delay till mario jumps but its always the same so i think its intentional? Feels almost like playing an old lcd/handheld electronic game.
is there an intented delay or does it lag?
Sitenote, the game doesnt scale well, getting it to scale wright on every device is hard with cocoon but there are instructions that can be find on the forum here.
You should also try to build your app with Intel XDK cordova and see how it performs.