Pixie, entomologists laugh at most herpers for their fear of "chitin" as most of the hard shells of insects are actually toughened proteins that are merely bound together by small amounts of chitin and it's those proteins we often find in the digestive tracts after an animal is brought in for bowel resection due to an impaction. Sure, there's some chitin that makes up the blockage, but it's just a fraction of the problem.
Most bugs only shed the cuticle portion of the exoskeleton, not the membranes which contain the chitin. Cuticles are primarily protein, not chitin.
Chitin is found in greater concentrations in soft body tissues than in the shells of many common feeder insects, such as crickets and mealworms so shedding does not make much difference as to how much is ingested. But all those melanized proteins that form the hard shells of a mealworm do shed off, and that's what actually makes the difference.
Some animals get impacted on high-chitin feeders whether or not they've recently molted. Freshly-molted mealworms are very commonly found blocking the small intestines of bearded dragons, for example. But this sort of thing is relatively rare, it's the proteins that present the major problems.
http://www.faculty.ucr.edu/~insects/...01cuticle.html