It's all relative.
> Look at the military for a good example of a non-market structure that has a tight feedback loop and, generally, does very well outside of the market system.
The military has some meritocratic elements, but then again it's hugely wasteful: http://fortune.com/2015/08/14/f-35-joint-strike-fighter/
> The government may lack some features of the market that doesn't mean that it cannot be as accountable
And how are the accountability mechanisms going to be implemented? Obviously the vote doesn't work. Data might be slightly helpful, but people don't vote based on data. Look at this Trump election. It was hardly a data driven result. Really the main problem is that voters aren't very accountable for their decisions. Voting is just a tribal team sport thing.
We seem to know very different people.
While it is true that the market has a tighter feedback loop, that does not ensure good individual decisions. It just means that individuals are punished for bad decisions and rewarded for good decisions quickly.
This is a nice feature of the market but that doesn't mean that it is the only system that can have tight feedback loops. Look at the military for a good example of a non-market structure that has a tight feedback loop and, generally, does very well outside of the market system.
The government may lack some features of the market that doesn't mean that it cannot be as accountable. Good data and analysis for the people is one nice step toward greater government accountability.