The participant is misunderstanding what the IRS is saying. Not surprising, since it is kind of a subtle distinction.
This means that the employer is not required to look into the employee's personal finances - bank statements, investment accounts, credit cards, etc. to see if they have some other means available to them to satisfy the hardship. It does not mean that the employee is not required to substantiate the existence of the hardship.
The IRS has this page about hardship substantiation: https://www.irs.gov/retirement-plans/its-up-to-plan-sponsors-to-track-loans-hardship-distributions
Although summary substantiation is permitted, the plan administrator is well within their rights to use the traditional substantiation method. The participant has to comply with the plan administrator's procedures if they want to request a hardship withdrawal from the plan.