Yeah, Syl, it would, not to mention, the babies WILL get big enough to jump above the plexi-glass, but still be small enough to squeeze through the wire. Baby chins are just like their parents, and an adult chin can jump 2-3' up in the air if the want to badly enough, a baby could jump 1-2 easily, and an 8 week old kit can still fit through FN bar spacing, which is around the same size, if not smaller, than larger parrot cages.
But, she doesn't care, even though she runs a rescue, which I find laughable. A rescue should care more about the wellbeing of an animal, not aesthetics. Get something that's safe for the animals, not what you think will be "pretty". Not to mention, plexiglass is a type of plastic, not glass at all. A chin trying to chew on it WILL be able to grab hold (especially if you've got everything at the top for the mom like you said), and she will be able to get pieces off. Those shavings she chews off are going to drop into the bedding for the babies, and the babies are going to chew on them and, like typical babies of anything do, try to eat them, and then you've got an impaction.
Rick, seriously. STOP suggesting PLEXIGLASS to people for CAGES. There was a member who had a plexiglass cage from that Customcages website. I believe 2 of the sides were fully wire for ventilation, and he still had circulation issues. So. Yeah.
As for the melanine vs. plexiglass I think I saw somewhere. Melanine doesn't trap the heat like plexiglass does, it lets it escape. Melanine doesn't create a greenhouse effect, and as mentioned before, it is usually open fully on one side with 'windows' on the others.