So I've done (and continue to do) experiments using different grit sequences. For example if I want a quick run ill just do 60/90>(move to vibe)220>500>1000 micro alumina. I've even experimented with skipping the 1000 stage completely.
Other times if I'm being real ocd ill do 60/90>(move to vibe)220>400>600>800>1000>micro alumina>submicron ao (rp#61).
My next test that I have high hopes for will be 60/90>220>400>800>micro alumina. The thing is, its still a 5 step process so won't be saving any time, just materials.
What I've found is that so long as everything is run long enough in each stage (whichever sequence is used) and properly cleaned in between, the results are equal. As in I wouldn't be able to tell you which sequence was used in a blind test.
I've honestly started just using whichever grit I have quantity of fir the application. I only have around 2 cups of 400 at the moment so I only use that in the vibe. If I'm running larger stones in a rotary I typically reach for the 500 (i have 10lbs of that).
The biggest "nothingburger" for me has been trying to use the submicron (rapid polish #61) as a final polish. The difference in final results between regular micro alumina (8,000-13,000 1-3 micron) and the rp61 (75,000 .25 micron) is truly discernable. And jumping from 1000 to rp61 often has trouble getting a glossy shine.
On the other hand, the rp61 works amazingly well on a flat lap for cabochons. It is also MUCH cheaper than the comparable lindeA.
The one thing that remains the same throughout everything is that if you rush or try and skip stages you won't get the results you're looking for!
Best of luck and happy tumbling