The mixture ICO function is ubiquitous in carburated aircraft engines for a reason. The manufacturers decided it is the best way to shut down the engine. All of the Lycoming and Continental engine manuals say to shut down the engine with the mixture as do every POH I have ever seen. I have yet to hear a compelling argument to do otherwise
Could not agree more.
But don't for a minute expect me to believe the engine is flooded when stopped by mags only.

Read the post again, you may have missed that bit.
but the sudden onset of a steady high frequency vibration should result in an immediate landing at the nearest suitable airport. A vibration that is increasing in intensity should be cause to shut down the engine.
Absolutely, no argument from me.