I don't see any relearn process or dealer diagnostics doing anything but costing money and wasting time. I see a lot of this where vehicle goes to dealer, dealer does a bunch of diagnostics, disassembles and cleans the EGR all the while ignoring the fact that the exhaust is non stock. Sometimes the issue is cleared (for 3-4 days) and then comes back. OK now we replace the EGR valve itself $$$ Again a brief period of no DTC then problem comes right back.

As for the EGR system causing pass/fail of your testing, my guess is it will fail because of the DTC being present more than anything.