That's a very good point. There's no sense in pouring in your stop-bath (or dev or fix), then immediately taking it away by inverting the tank. On the other hand you need to ensure the chemical quickly reaches every part of the film. That's why Paterson recommend the twizzle stick when the chemical is first added, with inversion agitation thereafter.
I assume you used Paterson reels on a Paterson centre column in the Paterson tank? Otherwise metal reels moving up and down inside the tank during inversions might be a relevant consideration.
Honestly I think increasing the duration of agitation is a red herring, because most people don't do that. Likewise pre-washing.
You originally described 'sharp inversions', and I wonder exactly what that entails. In the Paterson tank at least, the liquid that gets into the funnel when the tank is upside-down needs time to drain back before you invert again. I reckon a single full inversion takes 2-3 sec. which is not what 'sharp inversion' suggests to me. (Your metal tank may be very different, I have no experience.)
Not wishing to pile on the agony, but I can't help noticing that you've got a serious dust problem too ...