It’s not the airline but rather the TSA who set the rules regarding what items you can put in your carryons. There guidelines are a bit vague about fishing lures - it depends on the size of the hook. You can read the regulations here: https://www.tsa.gov/travel/security-screening/whatcanibring/all-list

This is one of those situywhere you’ll be at the mercy of the TSA agent who is on duty when you clear the checkpoint. If he/she says “no” it is difficult to argue with them.