Years ago; before starting a Rover V8 engine that I had extensively rebuilt, I had a tool made so I could prime the engine with oil using my electric drill before starting it for the first time
Back in the early 90s I bought a car I had planned to keep a long time so I installed an electric oil pump to build up pressure before start.
and the pump ran after shutdown, probably to protect a spinning turbo from a no-oil scenario.
Great product but the pump could be heard and I got numerous questions and weird looks before starting and after shutdown.

(1992 Pontiac Firebird convertible with a 305 ci V-8, rare bird, not many were made with the rag top)
Back to airplanes: Agree with OP and previous posters, be gentle, live and let live.