I think your definition is incorrect if you think that a middleman or ten in between my money and some effect is "direct."
In my definition, I directly give money to a person and receive expected goods/services.
My issue with taxation is that it is immoral. It is wrong to steal. How is taxation NOT theft? I am coerced to pay taxes or face penalties up to and including death if I (rightfully) resist. I have never once signed a contract guaranteeing that my taxes go towards anything that I might consider useful. Which, even it things are useful, it's still wrong since others wouldn't and NO ONE should have heave their earned money taken from them without permission.