Andy S: Despite my earlier post (
http://www.home-barista.com/tips/brewing-ratios-for-espresso-beverages-t2402-80.html#73563), I agree 100% re. keeping things simple. Your proposal for using normalized brew ratios, though it looks at only one aspect of what defines an espresso shot, is nevertheless a great contribution to the vocabulary, and its very simplicity is indeed its main conceptual strength. To add other parameters such as brew times or temps can never really, as you so correctly say, completely define the shot.
The act of pulling an espresso can either be made into an act so complicated, with it's various brew temps, boiler pressures, tamping pressures, degree of grind, degree of roast, distribution techniques, etc. to attend to, that taking a completely "left brain" approach is bound to convince one that pulling a good shot is simply not possible. (Much like trying to teach someone how to tie a necktie over the phone...) On the other hand to take a completely "right brain" approach, that is to be guided by one's sensory experience from the cup alone, is not likely to lead one in the correct direction either.
Rather by looking at pulling an espresso as an act of craft, neither 100% art, nor 100% science, seems to me to strike an appropriate balance. And in this regard your brew ratio concept can help us "declutter" ever so slightly the various parameters that we may otherwise attend to, by reducing the combination of the dose, and the volume of extraction, into a single normalized parameter.