Visiting day is new idea to me. My camp runs 6 sessions (this summer we'll have 7) which are a week long each. So we see parents on Sunday when they drop off their kids, and on Saturday when the pick them up. It's definitely very different (I assume) than a camp which runs one long session (or two shorter ones) which has room for a visiting day in there.

Sorry I can't answer any of your questions, but I do have another to add: Do you typically see a second wind of homesickness hit right after parents have left from visiting? Does it typically come from campers whose parents just visited? Or is it from the campers who didn't see their parents while the rest of camp did?