Had the author offered an alternative? Namely, can E^2 be calculated in practice?
I guess the post is similar to Anscombe's quartet [1]: a warning not to blindly trust summary statistics.
These are the kind of questions you have to ask yourself. Defining a metric is hard, and there is no good shortcut.
In my opinion, it is not about using E2 or other alternative measure to R2, but about being aware of the significance and validity of R2 and not blindly assuming that a higher value always means a better fit.