Well.... not exactly.
"Pied" is a generic word which means the bird's base color has a pattern which involves broken white (not a solid white bird, not a solid colored bird).
Other words (dark, loud, reverse, silver) are modifiers which tell us something about the way in which that bird shows white. We'd like to think this also is indicative of the genotype, but often, we don't know enough about the bird or about the bird's genetics, or about how the genetics of some things work, to state with certainty.
Reverse pied means that instead of the bird looking like it has white (pied) patches on a colored background, it appears to have colored patches on a white background, i.e., "reversed" from a colored bird. So a reverse pied bird is more than 50% white. We don't hear that term as much in the U.S., but often we hear "loud" pied -- which is essentially the same thing.
Some folks have suggested over the years that having a white eye gene (it suppresses color in the eyes of the tail, leaving white spots in the eyes), can cause a pied bird to have more white -- increasing the "eraser" effect of blocking color. There's been discussion as to whether there is a modified version of the white eye gene that leads to silvering. There's lots of stuff on BYC on various threads that discusses various theories of how this works (or might work).
It's a somewhat complicated discussion, and not everyone agrees with everyone else on all the details But we stay civil about it