Search is definitely faster, but I think both compliment each other. I use Everything(and Listary) about 90% of time too. But I think there has to be some kind of rough hierarchy in place, to make the scope of search smaller and find the files quicker.

Also, sometimes you cannot find that one file you're looking for with search, or worse, cannot even remember what it's called, but with some light organization, you at least have some idea where that file resides.