Maybe part of it is that fully functional notation necessarily preserves certain properties of the computation, while imperative style doesn't have to. For a complex piece of code, all of the hairiness is manifest in a functional style, but can be made implicit in an imperative style. So there's an economy to the imperative approach as things get complex, but in a sense we're just laundering the complexity from understanding the machinations of the code to understanding the correctness of the code.
Maybe part of it is that fully functional notation necessarily preserves certain properties of the computation, while imperative style doesn't have to. For a complex piece of code, all of the hairiness is manifest in a functional style, but can be made implicit in an imperative style. So there's an economy to the imperative approach as things get complex, but in a sense we're just laundering the complexity from understanding the machinations of the code to understanding the correctness of the code.