The stick deodorants help prevent the excess secretion by the sebaceous glands that contributes to inflammation of the pilosebaceous unit that is called "ingrown hairs". Hairs don't actually ingrow but the normal production of hair shaft becomes disordered in the follicular bulb. This nasty condition occurs most commonly on the inner thighs particularly when the area is repeatedly shaved or irritated by jogging.

The "salt and sugar" scrubs dehydrate the epidermis and upper dermis and help to drain the sebaceous glands. They would be very irritating if you do not replace the lipids in the epidermis with the oils. They tend to increase turnover of cells in the epidermis leading to a "plumper, fuller, wrinkle-free" skin. Kind of like a predecessor to the alpha hydroxy acids.