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Clubs would be clamoring for the best mathemeticians to run their clubs. It's not as simple as toting up $$$/WAR, which is but one factor in many an experienced, savvy GM must reckon with in making his decisions. These are not baseball cards being swapped around. Stick 5 WAR player in here, oh, let's see, we need at least 3.5 WAR there, etc., etc.
Such stats are indeed important, provide some insight, and are most useful elements in making decisions. But lets get real. If things were as easy as constantly hunting for the best value in $$$/WAR that one can find there are persistent, clever accountants and legal analysts who could run a franchise to great success.
But these kind of people are staff guys in the real world. Why, because what their good does not reflect the whole picture.
Every military has staff guys who think if they were just made commanding general they could run circles around their bosses. In some cases, given the opportunity and after learning some tough lessons the hard way, they may be right. But history is full of staff generals who simply couldn't cut it in the real world where logistics, formations, etc. are only parts of the problem. Important parts, necessary parts, but still just parts.
The same is true in baseball. I'll bet you anything Matt Olkin (if I have his name right) would be the first to tell you that being a GM is beyond his skills. Do $$$/WAR totallers think they are better than Matt Olkin? Do you think SabrMatt would say he is up to being thrust in the role of real-life MLB GM?
A real-life GM has to look at different factors, many of them not subject to mathematical calculation, weigh them carefully, and look past them, or better, through them to make judgments that he hopes are better than his peers.