Add 1 cup cold water to 6-quart Instant Pot (1.5 cups for 8-quart).
Place 9 eggs on trivet and lower into pot.
Set valve to sealing and cook on manual pressure for 4 minutes.
Natural release for 5 minutes, then quick release.
Prepare ice bath with 24 ice cubes and 2-3 cups cold water.
Transfer eggs to ice bath for 5 minutes.
Crack eggs with back of spoon, wedge spoon under shell to peel, then rinse and pat dry.
Mix 3 Tbsp mayonnaise, 3/4 tsp Dijon mustard, pinch each of onion powder, salt, and black pepper in bowl.
Cut eggs in half and remove yolks.
Add yolks to mayo mixture and mash with fork until smooth.
Spoon or pipe filling into egg white halves.
Sprinkle with paprika and chill 1-2 hours before serving.