It shouldn't be important how the term 'sport' is determined. Pool is a human challenge with parallels to endeavors as vast as those in engineering and professional football.
It's not necessarily a fitness challenge, though hard trainers will derive fitness benefits.
As for the aim of Olympic acceptance I'm 100% against it. I believe it would be highly detrimental to the game's development. Almost every sport that has become reliant on an 'Olympic Status', has become a sport ruled by national bureaucracies overseen by stagnant central committees. This is not the formula for evolving sports. Even Olympic sports such as athletics, swimming and gymnastics are extremely poor sports, but for a few superstars.
If pool was an Olympic sport, no entrepreneurs would dare touch it. They'd have to wait 6 months for the committees to meet to give approval on every decision.
btw. JAM, don't mean to poison your thread, just being an contrarian bastard ;-) You're a gem in my books! Missed you while I was away
Colin