It's not tons of space in all of Joe's solos, but I seem to remember he pepper's a fair number of his solos with space here and there (for longer than you might have been expecting) amid what is otherwise (arguably) a flurry of notes. Or at least that's how I remember hearing Joe's playing.
But, he's definitely not a "minimalistic" continuously. Although, come to think of it, he is rather fond of taking a small cell and repeating it over and over in a sort of "minimalistic" way -- so I think he fits in that regard too (in the "classical music" sense/definition of Minimalism).
"he pepper's"?
Sorry, couldn't resist...