Flash Player is meant for running SWF files created by the Adobe Flash authoring tool, Adobe Flex or a number of other Macromedia and third party tools.
Adobe® Flash® Player is a lightweight browser plug-in and rich Internet application runtime that delivers consistent and engaging user experiences, stunning audio/video playback, and exciting gameplay.
I have confirmed this myself, using latest official firmware from Sony, and using JW Player 6.1, the error message is: Error Loading Plsyer: Adobe Flash Must Be 10.0 Or Greater.
From your FAQ this answer is: Error loading player: Flash version must be 10.0 or greater This means the version of the Flash plugin on your computer is too outdated for JW Player to use.
An update to the PS3™ system software was released on November 1, 2016.
You can use this update to upgrade your system software to version 4.81.