@boomerang,
I saw that in the NYT today and thought of you!
My kid does that, yeah.
Recess first, then lunch. I really didn't realize it was so rare.
The blurb I read (can find it) complained about problems with coats, washing hands, and getting lunches.
The hand-washing thing is annoying but I take comfort from other research that eating dirt is a good thing.

They do have hand sanitizers set up but it sounds like they're rarely used.
They eat in their coats when it's cold out. This isn't great but isn't terrible. (Happened to just ask her yesterday why they do that, she said "there's noplace to put your coat!" and I said "but why not just, like, sit on it?" but that's lumpy, evidently. Whatever.)
The lunches problem is really elegantly solved, they just put all the kid's lunches in a big box outside classrooms and then someone or group of someones takes the big boxes to the lunchroom. The kids go to their class's box and get their lunchbox. Easy peasy.