tareks lag was crazy, that makes a game unplayable..
But as I responded in the beginning. We are hundreds (thousands?) of users creating and playing construct games on phones, so there is no "general lag" of 400-500ms for touching objects. you should never be able to play a precision or quick reaction game if you had 500ms lag!
maybe try to add also one graphic change (like change the bg color) in the same event as changing frequency in your test project. if that will change instant, but the frequency change is delayed then there are no touch lag, it is just a "sound lag"..