There is a fuel pump prime time parameter not visible in hp. My car is also pushbutton start. Default is 0.1s hence why you hear the engine crank over almost immediately after pressing the button. I wound mine out to 2 seconds. The extra prime delay is worryingly noticed when I forget that I changed it, 'why isn't my car starting... oh there it goes'.

Need user defined parameters and an xdf (check tuner cat website to see if they have one)