P1E00 is "Hybrid Powertrain Control Module 2 Requested MIL Illumination", i.e. it only identifies which module triggered the light. In itself it doesn't identify the problem (that's what P0AA1 is for).
If you can turn your car off and on 10 times, waiting at least 5 sec between each power button press, you can essentially execute the bulletin. Even if you don't do it all at once, if you don't see the error come back over the next few days as you turn the car on and off, I would say it was likely a transient issue and not worth worrying about. Definitely not worth throwing $1.5k at unless it is causing you an actual ongoing problem.
Both names are referring the same car-with-exclamation-mark light, what would be the classic "check engine light" if the vehicle had an engine.