Width can be adjusted late in tillering process for fine tuning as it doesn't make as much difference to stiffness.
Thickness is what makes the most difference.
Stiffness is proportional to width, but proportional to thickness cubed.
So if you half the width, you half the stiffness... but if you half the thickness you reduce the stiffness to 1/8 of what it was.
That's why you can have paddle bows, parallel bows, bows with scallops out of the edges.
Front profile has very little to do with tiller
unless the bow is of constant thickness, see the miniature bow at the foot of this post on my blog, which illustrates the point:-
http://bowyersdiary.blogspot.co.uk/2014/04/ashbow-re-try.html Del