"Full thickness" of sapwood on a small diameter stave with high ringcount is still very thin layer. (Well because the rings are thin - right?)
But yes - the logs they cut for staves were relativelly small diameter which causes the back of the bow be crowned and the rings running semicircular in the profile.
Your squared profile is too much squared. The squared profile on MR bows i more oval with small flats on sides and we have genesis of this. It looks more like normal oval profile blown up over the dimensions of squared stave, if you copy me.
You start with a squared stave and make width taper, then you make thickness tapper, all based on experience, then you facet sides from belly to side, but not in 45 degree angle, but somehow less.
Then you round belly up to the facet - and the small flat surfaces on sides of your stave will magically appear.
Then you tiler only thickness and wont touch anything else.
Jaro