A Snow-Covered Sukkah

Is this sukkah kosher? The snow is severely weighing down the schach (sukkah ceiling) in the center.
One potential issue: Has the sukkah become too cramped? The Gemara discusses a situation in which leaves from the schach protrude down into the living space below. However, Rava rules that if there as at least a livable space of ten tefachim (between 30-40 inches) from the floor to the schach, then the sukkah is kosher. (Sukkah 4a) It appears that the living space in the sukkah in the photo is indeed at least ten tefachim high, even in the center with the schach drooping.
Another potential issue: The shade in the center of the sukkah is not only coming from the ceiling, it is coming from the walls. Since the walls are higher than the drooping part of the schach, that part of the schach would only provide shade if the sun was shining directly overhead. Most of the time, however, the shade in the center part of the sukkah would come from the walls of the sukkah.
The Gemara states clearly that this is not an issue. Even if one builds a sukkah in a valley that never receives sunlight, the sukkah is still kosher. (Sukkah 2a) As long as the schach is capable of providing shade, even if it actually doesn’t, the sukkah is still kosher. For example, the Norwegian town of Rjukan sits in shade for approximately half the year. In fact, huge mirrors were constructed a few years ago to give the townspeople some sunlight during the shady parts of the year. Nevertheless, a sukkah built there would still be kosher even if the shade comes from the nearby mountains.