I don't know how it would be as a mascot, but nothing identifies nationally with the cajun culture like a dam crawfish. Nothing.
Whatever the mascot is, whoever is inside it needs to know what they are doing. The person in the pepper just walks around with goal at all, other than to just look awkward and silly. The dude in the chicken, was probably one of the best entertainers of all mascots. Ever. If the chicken just walked around and did nothing (like the pepper) we would not still be talking about it 15 years after he retired. We would have been glad to see him go.