For what it's worth, the picture you've posted is NOT the ice sheet in question. The ice sheet is question is as described above by Steve Smith - just below the summit.
The picture you reference is a few hundred yards below the ice sheet in question, and rarely causes a problem in winter, and wasn't even noticeable when I did the loop about 10 days ago. It is useful to know about the spring, however, if you're a dog lover and in need of an water for your dog. This particular spot on the trail is scarcely noticable in the summer - just a minor wetspot. However, if you watch for it, and upclimb about 20 feet, there's a depression when you can fill a container/collapsible dog bowl. I used it regularly with Brutus as we nearly always did the ridge counterclockwise. The last reliable water source on the Falling Waters is near the jct for the spur trail to Shining Rock. If he had a drink there, he could make it over Lafayette. Rather than wait another 3/4 mile to that small glacial tarn near the hut, I'd get a drink for him there.