I did take mine apart and the footswitch acts as a lever to trigger normal tactile switches mounted on the pcb. Those tact switches click and reverberate inside the unit. It may be possible to replace them with soft touch version such as these:
https://www.adafruit.com/product/3101
However, the plastic footswitches were design to trigger the specific tactile switch used in the pedal, so you'd need to find soft switches that are almost the same dimensions and that have roughly the same throw. Even then, the soft mushy switches, while clickless, may not be as reliable...
Sylvain
