The answer, of course, is yes. You'll end up paying more. A lack of transparency allows mistakes or misconduct to slip through. The best way is to have upfront transparency so that the problems can be spotted early. When that fails, you have to fall back on whistle-blowers. Whistle-blowers are a kind of tripwire to pick up wrongdoing. They're supposed to work when other systems fail.
As to how the costs would add up, if you have conspiracy between contractors, for example, that might not be as easy to spot if you don't have appropriate transparency and you don't have somebody looking back at the records.
I think, though, that Mr. Cutler might be a better person to answer the contracting question.