To keep a long story short.... Firstly, one of the ways to detune the 116 and the 114 is to install an exhaust which is smaller in diameter then the bigger 118 brother.
2" exhaust from cat-back is an effective way to detune the car. This can be seen even on the standard engine dyno graph.
Secondly, Chiptronic is one of those companies which produces the modules for many other tuners for many years now....Other tuners buy the modules with programmes from Chiptronic and just rebrand them
Doubt it whether they would do a "non-such-effective" tune
especially that the piggy-back tuning method is based on boosting the standard signal instead of a totaly new timing, ignition and fuel map.