I'm glad you got the results.
This is what I found about high eosinophil count. Thought it was interesting.
"Anyways, in my experience they are caused by allergies. More often than not it helps tremendously to simply remove as many plastic products from your cat's life as possible.
Use glass or metal bowls, nylon collars should be replaced with cotton or silk (eBay is loaded with cotton cat collars). Cover all your cat's favorite sleeping spots with 100% cotton towels or sheets. Throw out all the plastic toys if she carries them in her mouth.
Litterboxes don't seem to be a big issue as cats don't spend a lot of time in them.
Wash your cat's stuff in one of the fragrance free detergents & if you use softener, the same applies.
Use flea products only if needed & stick with what your vet sells. My cats stay inside & I haven't needed to use flea prevention for years. I spray around the windows & doorways the spend time near & check them often.
Use mild or diluted cleaning products.
If it was my cat, I'd see about feeding her grain free food only & I'd also see about adding an immune boosting product to her routine but if you don't do anything else, get rid of & cover the plastic products & use the "free" washing products."