You really don't seem to. The allowed recourse, under contention, for unpaid wages due to bankruptcy isn't via the FLSA, its a lawsuit against the company's owners. If you run a taco stand, don't pay your employee, and then declare bankrupcy - validly or not - you will plausibly be held liable, as person, not an LLC, in civil court for those wages. To be paid from your personal assets and or garnished from future income.

Also your quote literally says 'unless declaring bankruptcy to avoid paying wages.'