TomP --
To your last point. Yes. The TEP number (a measure of the spread of scores below and above par) remains a good indicator of how strategic a hole is. Scoring average alone doesn't tell you much.
A par four may have a 4.5 scoring average at a US Open site. That's a very high average normally indicating a very hard hole. But the scoring range may be very narrow. Which is typically the case at US Open courses. Why? Because of penal rough, narrow fairways and added length, everyone will play the hole conservatively. There is little pay-off for taking risks. Too many difficulties to overcome. The result is typical US Open scoring that has lots of pars, lots of bogies and not much of anything else.
Another hole may also have a similar scoring average but it is the result of lots different playing strategies. Players are given lots of options that actually tempt people to take chances. Some succeed, some fail. The result is that the scoring average may be the same but the actual scores are widely spread -lots of eagles, birdies, pars, bogies and double bogies.
A sign of what I believe is a great, great hole.
The TEP number is just another way to parse the difficulty of a hole from its strategic interest. (I hope that passes muster with the anthropomorphic police.)
Gotta get back to work. The difficulty of a hole is often confused with its strategic interest. Not the same thing. Two concepts that inhabit very different logical universes. But people confuse them all the time.
Bob