Well, here is something to compare both web cams: All the current and prior day's shots, on one page. Open them in two separate browser windows, and compare side-by-side:
Whitney webcam sequence Willi webcam sequenceBefore you declare a different micro-climate, consider the difference that distance provides. The Whitney webcam is zoomed in closer to the mountain, so you are seeing a much smaller rectangle of weather as compared to the Willi webcam, so clouds look larger.
But I am guessing there are local differences between the two mountains, regardless of our camera differences.