I called IRCC today and asked this very question. The agent put me on hold for a few minutes and then said that Inland OWPs are considered part of the Permanent Residence application, NOT a separate paper work permit application. Therefore, they would fall under this part of the IRCC's update:
"IRCC also continues to process study permit and work permit applications submitted online and permanent residence applications, to the extent possible. Paper applications for visitor visas, study permits and work permits will not be processed until further notice."
Now, we still have no idea what "to the extent possible" means, and IRCC call centre agents don't always have the right info, but this is what I was able to get.