Sure those springs will be running. Almost assuredly...
but what I recommend you do is simply get out your two litre platy and
fill that up at JMT/CR Trail junction... (i.e. the spring creeklet) along with
your bladder or wawa bottles... then chug up the trail... and zig
to east quarter.
From the western most switcher it's < 200ft. up to the QD.
(and please, for the love of Chick-on do not even think of building a
fire ring ON QD)
If you're spending more than one night up there then go crazy and go
up to Clouds and find the spring.
If it had been earlier after the last storm you would have been def.
able to just get water out of solution pockets right near QD and
"sharkie"... but too much time has passed for that to be reliable.
Not much thinking required for the solution above... but do as you fish.
Have fun up there ( I LOVE QDs!)