The relevant section is blunt. “The Software is licensed to you, not sold,” the EULA states. “You are granted a limited, non-exclusive, non-transferable, and personal license to play or use the Software for your private, non-commercial use on the system or device it was intended for.”
The terms also restrict renting, modifying, or obtaining games through unauthorised means. Nothing in there is new, technically. Sony’s EULA has always said this. The timing is what makes it land differently right now.
A permissive license is a specific category of open source license. As I said, all official repository software is free and open source. If the terms of the license did not allow it to be freely distributed or was a revocable license, it would not be allowed in the arch repository.