i'm not one to debate genre semantics, but shoegazing doesn't necessarily have to be wall of sound. Lots of band can still sculpt a meticulous, textural, effects-layered soundscape and still sound 'chill' (cocteau twins, robin guthrie, mazzy star, auburn lull etc ) sound and is often dubbed dreampop or sometimes noisepop, which is very closely associated to the shoegazing movement in general. I think a few softies here can at least agree with me on that.
Silversun pickups and Mew are both/can be considered dreampop bands.