Well.. I've tried it! But the reasoning is also like this: When you add the fretboard, essentially you're doing a laminate. Laminates tend to stiffen things. Look at your typical piece of gypsum board (sheetrock). If there was no paper on each side, it would be damn near useless. But, they take the compressed core and bond it with paper - ok "thick paper", but its still just paper - and you get a very strong combination. Similarly, plywood is very strong for its thickness. Take a nice piece of very fine layer plywood - furniture grade plywood, and compare the strength to that of a solid pine board. No comparison, the plywood is some tough stuff. Look at a surfboard. Essentially a Styrofoam core with cloth and resin laminated. You end up with very strong. Look at glider wings... just about the same as a surfboard in construction, only more bits in there for control surface manipulation and such.
So, take an already stiff neck - maple - and add a laminate to it, you're not stiffening it up a whole lot more. You're not altering the resonance in huge ways. But take a more limber wood - mahogany, cedar, nato, etc, and you add that nice stiff piece of dense rosewood to it, and you've got something where the whole is greater than the sum of the parts, as far as stiffness goes. Sure the maple neck gets a bit stiffer, but it was already quite stiff, while mahogany got a good boost in stiffness by the addition of the fretboard.
I suspect that profile - thickness - because it alters the resonance of the neck, also effects tone in big ways. I know that my stainless fretted, fatback goncalo neck is much darker than my nickel-silver fretted standard profile goncalo neck. Vic's mahogany/rosewood neck was not dark,but more "fat" in tone, compared to a plain ol' mahogany/rosewood neck. Vic's was also a fatback. So maybe "fat back' equals 'fat tone response'? Just seems to work out that way, but I've not checked with maple yet. The neck I have ready to put on the tele project is a boatneck, so we can see how that does on other guitars when I get the finish complete on it.
Thats my take on it anyway - maybe my mind trying to "prove" what the ears have already experienced, dunno.