JBI doesn't need a solid waste permit from what I found on the website.
www.dec.ny.gov/chemical/23680.html
"Recycling Facilities
Facility Status
Recyclables Handling and Recovery Facilities (RHRF) - RHRF receive recyclables that have been separated from the waste stream for further separation or processing. RHRFs serve as a processing link for many municipalities and businesses to allow them to get their materials into the recycling system. These facilities are required to be registered with (rather than permitted by) DEC."
The plastic that JBI gets has been separated from the waste stream. Seems it only needs to be registered.
Much of what you have described are when waste products are used to run a furnace. Plastic is not used to run the P2O machine, it is fueled by one the end products of the process, propane, which is pumped back into the P2O processor after it is converted from plastic. In regards to the pyrolysis issue, pyrolysis is not what happens with P2O, at least according to your definition, the plastic is not decomposed, it is converted, there is a difference.
Your research seems to have gone down the wrong path. I'm not an engineer either, I could be wrong but it doesn't look like it.