We used crampons and ice axe heavily, but didn't have snowshoes. There were a few places where it would have been nice, but it never felt essential, and certainly wouldn't have been worth the extra weight. I'd say I postholed maybe a half dozen times total. I've gone on trips where I postholed nearly every step, and so this felt quite nice! Also, we did the main trail between lone pine lake and mirror lake - some of the people went offtrail on the way down (the "shortcut") and I saw a lot of postholing there. One guy was wearing tennis shoes and shorts, and postholed to his waist!
By next weekend the snow will be lower and perhaps slushier, so perhaps someone will add an opinion if they go up later in the week.