I dig the initiative. Unfortunately, I'm afraid the petition either will not fullfill its target number of signatures or gets denied to be acted upon. Our public sector is too corrupt to make public software contracts transparent like this. Overly expensive and prolonged projects would look even more suspicious with the code (and possibly progress) being publicly available.
I remember a few years ago that an activist businessman started a campaign against a comically overpriced website for buying the highway stamps:
https://www.wmcgrey.cz/hackathon-znamkamarada/
Sure, it was a bit of a rant because said entrepreneur probably had his own bid rejected.