Simple! Excellence is the result of existential competition and government is either entirely immune to it or, on rare occasions when it does exist (when neighboring states compete), oblivious to it.
The prime mover in government is power and politics and they are completely unconnected from “doing a better job.”
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The above is the very definition of socialism!
Socialist, single-payer, government schools can not be fixed because they **are** socialism. They have **always** been socialist. Socialism can not be fixed.
It applies to any government entity except the military (the military has an existential competition of the highest order in that failure to achieve excellence in battle means death)...but I guess one could say that government work is always socialist in nature even when part of a system primarily based on free markets.