I don't frequently use my Paterson tanks any more except for the odd roll that comes in with a request to use Rodinal or some other developer other than my standard, but back when I did use them I was what you could label as an Ardant supporter of inversion method.
Since then, not so much... I've mostly done the twizzle method and haven't seen any difference. The key is to do it suddenly, and don't do it for too long. You just need to get fresh developer onto the emulsion, not mix the whole thing up, and that only takes a quick twist of the wrist.
I was curious about how much I would've needed to agitate with the stick, so I put a test roll in a tank, left the lid off and filled the tank with a liter of water, then put a drop of food coloring into the water and got to seeing how much twirling would mix it up.... You'd be shocked and amazed at how little it took before the entire inside of that tank was the same color. It was a real eye opener for me and led me to just start with one sudden full turn of the stick for agitation.