I haven't done floor tillering in over ten years.
My approach to long string tillering is a little different.
I start with a stave that's bandsawed out to dimensions that will bend a few inches. I use a long string that is just barely long enough to reach over both nocks and pull no further than intended draw weight. As the amount of deflection increases, I shorten the string. Because a long string will make a stave bend differently to a short string, I focus mostly on the inner 1/2 to 2/3 at this stage.
Eventually the string gets so short that the bow starts to have a low, then increasing brace height. When the bow finally reaches full brace, I use the tiller string as a guide as to how long to make the proper string. Also, by this stage, the bow's pretty close to full draw too.
Actually, when I say that 'I' do those things I wrote above, I actually mean that it's what I have participants on my courses do. What I actually do, personally, is pretty much go from bandsaw to short string (with a reasonably low brace) straight to half draw or pretty close. Going from bandsaw to finished bow lately I've only been taking about an ounce off. But for beginners I wouldn't recommend that.
A bit of ephemera:
The tiller shape the bowyer is seeking should determine the thickness taper (or lack thereof). The width should be appropriate to the thickness to allow sufficient stiffness, and minimise set.
I've made pyramid bows that were quite highly reflexed right out of the handle, and they were rippers. And as for rectangular section, I don't think having a deflexed stave would preclude it. It'd just likely have a thicker section than another bow of the same specs without deflex.