Yes, they do. I've been on more interview committees than I can count in my 27 years. I've interviewed candidates for every campus position (including principals, coaches, and math teachers). All dresses professional. Many of these were in the summer when it is 100 degrees before the heat index. I've even interviewed candidates for "safety monitors" where we know they will be wearing jeans and sneakers all year long and even they dressed professionally. They way you dress is a form of respect.