Hence if you go the other way and include severe penalties you’ll only get significantly padded estimates because the contractor now has to bear significantly more risk.
The buyer has an advantage in that they can negotiate the vendor down through competitive bidding techniques, and by doing so transfer the fault for insufficient delivery entirely on to the bidder instead sharing the fault themselves. If I work two contractors against one another to drive one into the position where they are now no longer safely comfortable they can deliver the product they promise for the agreed upon price, (however I am now safely in my own comfort zone knowing that I've got the lowest possible price extracted from them), well if they fail to deliver what is requested it's now their fault for promising they can do it, not mine for pressuring them into a risky position.
If its just an estimate, you underbid everyone else, win the contract, start building, run out of money past the point of no return, then get more funding.