would you entrust them with a massive project to evaluate which companies would receive injections of huge amounts of taxpayer money?

NO! That is the problem with capture of "public" institutions by private interests. This is the case for The Fed in the USA and the ECB in Europe. But your line of argumentation is how we got to this point and not a way out of the dilemma. We have had forty years of unchallenged propaganda advocating "deregulation" and painting "government as the problem". Enough people have bought into this that it has become true.  

It wasn't always thus. There was a time when there was a concept and an expectation of government working in the public interest. As De Gondi recently reminded us, Artistotle defines tyranny as a government run for private, not public, interests. Forty years of right wing propaganda from libertarian billionaires has sold the publics in the "developed" world on the virtues of tyranny! So now we need for the duped to wake up and to insist on a housecleaning.  


As the Dutch said while fighting the Spanish: "It is not necessary to have hope in order to persevere."