Is it normal to eat shrimp tails?
Depends.It depends
Yes—some people eat shrimp tails for their crunch, while plenty of others peel them off. Cooked tails are generally edible, though they can be tough and aren’t everyone’s idea of a good bite.
It’s a preference thing, not a weird-habit thing. Shrimp tails are edible, and some people like the crunchy texture, especially when the shrimp is fried. Others find them too hard, chewy, or pokey and leave them on the plate.