Yes, because the critters burrow into the skin to suck up blood, which is their food. They don't just hang onto the hair. The hair just makes it easier for them to hide from you. But the itch and skin irritation is the same, hair or no hair.
Can You Get Crabs If You Shave Your Pubic Hair?
You can get crabs, lobster, clams, or scabies. They are all good and they are all free.