I think there's another explanation as well, and it's also the reason why "running the government like a business" makes no sense even if private industry can be more efficient.
Companies are profit driven entities and at the end of the day can look at net profit and see if it's positive or negative. This doesn't guarantee efficiency, but it gives you a pretty simple success metric that you can then work to tie everything else back to. This is a major oversimplification, but government doesn't even have that basic starting framework. Government functions cost money, but generally produce no direct monetary profit that can be measured against their cost. Of course government produces other outcomes, but since those outcomes are not monetary, you run into a units problem if you compare inputs and outputs. You can say how many crimes the FBI solves per million dollars of budget, but there's no easy way to measure a "break even" point where you have a net benefit. You can measure relative efficiency (solving more crimes for a given budget), but you can't say what the right target value is.
Even if you could measure government efficiency the same way, the other issue is that companies can improve their efficiency by just stopping inefficient activities to focus on the efficient ones, while government agencies generally do not have that choice. The FBI could probably increase their efficiency by ignoring hard to solve crimes and focusing exclusively on the easy to solve ones, but that's probably not the right thing to incentivize.
Companies are profit driven entities and at the end of the day can look at net profit and see if it's positive or negative. This doesn't guarantee efficiency, but it gives you a pretty simple success metric that you can then work to tie everything else back to. This is a major oversimplification, but government doesn't even have that basic starting framework. Government functions cost money, but generally produce no direct monetary profit that can be measured against their cost. Of course government produces other outcomes, but since those outcomes are not monetary, you run into a units problem if you compare inputs and outputs. You can say how many crimes the FBI solves per million dollars of budget, but there's no easy way to measure a "break even" point where you have a net benefit. You can measure relative efficiency (solving more crimes for a given budget), but you can't say what the right target value is.
Even if you could measure government efficiency the same way, the other issue is that companies can improve their efficiency by just stopping inefficient activities to focus on the efficient ones, while government agencies generally do not have that choice. The FBI could probably increase their efficiency by ignoring hard to solve crimes and focusing exclusively on the easy to solve ones, but that's probably not the right thing to incentivize.