"Exotic" by definition means non native species. Many exotic animals would not likely survive unless their native habitat is similar.
Animals that could survive, could breed and displace local native fauna making them invasive.
An example of that is the Burmese pythons and anaconda snakes released in southern Florida.
Notwithstanding their size makes them a potential threat to humans.
Where the animal may be put in harms way, why should an innocent animal have to pay the price of human irresponsibility.