The Freedom of Information Act (FOIA) is simply the law that requires a government agency to disclose information that is not of a type legally exempted from the Act. The FAA is just making sure you know/acknowledge that the information that FAA has about you in their database (PRD/PRIA) is being disclosed to a third-party requesting it, per your consent and in compliance with the law as prescribed by the Freedom of Information Act (FOIA).

So technically, SWA is indeed doing a FOIA request on you. But one that you are consenting to, and is narrowly targeted to the PRD information under PRIA. Not like a general FOIA request like a journalist or lawyer might submit to a government agency requesting "any/all information you have on record pertaining to topic XYZ." But when the FAA provides SWA access to your PRD information, per YOUR consent, it doing so under the legal protection of, and in compliance with, the FOIA. So in theory, if SWA finds derogatory information in your PRD file, whether accurate or not, on the basis of which they decline to hire you, you can't file suit against the FAA for providing them that information, even if it's wrong.