Yes, I remember seeing this observation a couple of years ago. Shed anole skin does show as pretty “bright” white under UV light (similarly to what a lot of other whites do). I’ve used UV ID tags on anoles a fair amount but only on adults and never seen any dramatic UV responses (a couple of dots here or there), although the UV lamps we used are to make the tags floresce, not the lizards and I think they are higher than 365.
Juvie anoles definitely have thin skin in general that is easily damaged.