Try this. Go find DVDSHRINK and duplicate this DVD with that. BURN to both DVD+R and DVD-R since you need to test which works.

Many PS2s had issues playing recorder media. This is not a flaw but a limitation. I'm unsure how to explain why to today's owners.

But my BET is that you need to create it with DVD FLICK. DVD FLICK seems to create more compatible, plays more places output.
Bob