Hard effing nope out of me. I'm with MDale, next formal audit should help boot this ridiculous policy. If you want to try and prove the point ahead of time, buy a lint roller and wait near the production entrance when employees start for that day. Run the lint roller across 10 employees, use a separate pull off for each one, and show upper management the amount of dirt and pet hair you recover. If they're home laundering their smocks, there's no point in having smocks vs their regular street clothes.
God, this concept gets worse as I type it. How are employees transporting a week's worth of smocks to and from work? Floor of their car trunks? Duffle bag next to their peanut trail mix for lunch? Used plastic grocery bags? Oooo, if it's plastic bags, swab the bags for everything you can think of... Or dear God, are employees wearing their uniforms on their way into work every day? Riding the bus that's never been cleaned while wearing them?