Process matters, everything else is to a first approximation merely platitudes. What's the difference between faceless bureaucrats making these decisions vs the president? It's the difference between rule of law vs dictatorship. Faceless bureaucrats have to follow policy defined by Congress and the President. If the person making the policy is the same person making the decision, and especially when the "policy" is whatever their fancy is, that's not rule of law. America was founded on the principle, "a government of law, not of men".
Moreover, faceless bureaucrats risk criminal and financial punishments for things like self-dealing. The president faces no such risk. And when they're a lame duck, they (theoretically) face zero risk, period.
Bureaucracies are slow. They're costly. Like democracy generally, they're inefficient. They're worthwhile because, at least as far as government is concerned, they're a necessary element to maintain rule of law and avoiding dictatorship. The solution to government bureaucracy isn't to remove the bureaucracy, it's to remove the government involvement. Otherwise, you're just inviting dictatorship. This has happened countless times. When the people get upset about perceived government ineffectiveness and its democratic institutions are too slow to respond (e.g. gridlocked Congress), there are two routes: privatization (i.e. reducing the role of government, not merely something like syndicalism) or dictatorship.
What's the difference between Donald Trump's rise to power and approach to governance, versus Huge Chavez's? Not much. The parallels are amazing. Both came to power promising radical overhauls of perceived sclerotic institutions, including broken legislatures. Like Trump, Chavez was a media whore who spent most of his time talking on television, making impossible promises and blaming everyone and everything else for his own failures. (Castro was like this, too.) They both spout so much B.S. that most people can't even keep up; they just start taking them at their word, which is why Chavez was popular until the day he died. His successor has zero charisma; the policies haven't changed, but now people hate the exact same kind of government they had during Chavez, but have no power to change it. That's what happens when you choose government of men rather than government of law.