Not sure about price fixing, but i think govt participation should give more assurance of project completion! Not that there is risk for big developers to begin with, but with govt taking a stake in the project, there should be even lesser risk of project incompletion.
I somehow think these firms would be more efficient if left to run privately. Enough of their songlaps to benefit their cronies. They can just cut corners here and there once the projects are sold out to Singaporeans. One of the reasons why Sunrise Berhad (before UEM acquistion) is so popular in KL, Mount Kiara is because the developer continues to manage the development after it has completed. I've gone KL to see their projects, still well maintained after 20-30 years. People would pay 50% premium for a Sunrise built and managed project. Another Developer YTL corp, which do not need to launch its projects because it allows it's regular customers first priority, before they even launch, the project was over booked many times, so some of its projects are only built exclusively for its members (repeat customers). This is how much they trust their developer.
If they take over the board of directors of the best managed developer "Setia". It might not be as well run as before.