I honestly don't understand the variables well enough to answer that but I do agree that boiling the thickest part of the mash is what makes the beer distinctive.
I did something similar to you, going from protein rest to alpha & then beta sacc rest.
I ended up with the thin mash resting for 60 @ 140 & 60 @ 152.
Pulled the thin mash liquid for mash out.
Youre right. By the time I had pulled the decoction & boiled it, each thin mash rest ended...