Hi Ken,
It looks like you have found a different display of the NOAA "Point Forecast" that is available on the WPS weather tab.
I tried everything I could to get a forecast for the elevation of the summit, but the highest elevation I could get from the site is at: Lat/Lon: 36.557 -118.275 Elevation: 12812 ft.
I plugged in your Lat/Lon values on the display I have set up, and got the same elevation as yours, but it switched over to the Las Vegas reporting system. Mt. Whitney and the Sierra Crest apparently are right on the boundary of their two areas.
I have even tried emailing NOAA asking them if maybe they could tweak their system to better show the summit weather, but nobody ever replies.