Roger, first I would admit that all rules are made to be broken, so I think one just has to have a "feel" for the particular piece - sometimes you can get away with doing things that are usually forbidden. And, sometimes you think you can - and can't!
Next, let me assure you that my 6 months of bowl turning gives me no credibility on this issue. Hart was turning bowls back in the era of my grandfather - as I recall, his first lathe was steam driven, so his experience level far exceeds mine!!
On the bowls I have done, I form the outside completely, including the underside of the rim, if any, and try to do all detail work, including rough sanding. I have found it near impossible to come back and do any beads, etc. without totally re-turning the outside. Once you hollow the inside, it will move - just enough.
Then, I hog out the bulk of the inside, leaving the walls an inch or so thick. Next, I do the rim and down an inch or so to a finish cut, and then take the inside down to finish as quickly as possible with those long sweeping cuts you mention - again, to avoid movement.
I have not tried the idea of taking the entire inside down an inch at a time. Something about that makes me feel that getting the transition between each "step" would be tricky. But, then again, I have done less than 20 bowls in my long, sweeping journey as a neophyte turner!!
So, please take all of this as simply my way of doing it this month - next month it may be different!!