The EU budget is tiny - under €150B euro per year[1]. And what's more it has being falling in absolute terms in the last number of year.

While the US federal government spends over $20 trillion a year. This isn't comparable at any level - regardless of any snake-anatomy analogy.

I'm not sure what your definition of a "member state department" is? But knowing something of the political set-up in a number of EU countries, none are under the "sole control" of the EU (commission I guess you mean?).

[1] https://ec.europa.eu/info/strategy/eu-budget/eu-budget-added...