Thin, narrow, or taper? And the answer is: You can do any of the above to adjust weight or tiller.
But a pyramid style's biggest advantage is that it is really easy to build if designed properly. Get a thickness that will make the weight and then carefully cut it out and you are mostly done. If it's too heavy, make it, or the next one, thinner if you are using a compression weak wood like red oak.
Remember, thick/thin is measured back to belly. Wide/narrow is measured side to side.
Thickness tapering just makes it more complicated.