PIC18F4620 parameter D004 says 0.05V/mSec is the minimum dV/dT to get a reliable startup. A few years ago I had a dodgy system (with a Motorola xxxx supervisor chip) that was intermittent until I reduced the inlet filter capacitors to ensure faster voltage rise at power up.

Your mileage may vary but adding the supervisor did nothing for me.

HTH
BrianT