I am a big advocate of timely play.
For those who are against shot clocks because they change the game(?) I have 2 questions for you...
1. If a emphasis was put on timely play since forever would the game really be any different today ?
2. How often does a player find a new option after a extended time of "eyeballing" ? I believe they often play what they saw in the first 15/20 seconds.
Like you, I like timely reasonable play.
To answer your question, no, they don't discover or all of a sudden see a shot that they didn't see in the first few seconds of analysis. If a pro cannot see a shot within a little bit of brainstorming, they never will until they LEARN that new shot. It's not a shot "in the arsenal" or part of their experience scope. That's true of of every player.
They know exactly what they need to shoot. Rarely are there genuinely "two ways to shoot this shot" ...one of those ways is almost always advantageous. For example, should I go one rail or two rails? Well, when 99% of the time pros go two rails it's because it comes with a series of advantages or less dangers than the one rail play. That sort of thing. This makes that shot the real shot to play, and they know it.
They know the shots. They have shot them literally a million times. Even Earl used those very words on this very subject "they shot that a million times, why they taking so long?"
I can concede that some players are psyching themselves up, clearing their mind, trying to get "locked in" for the shot. But every shot? Give us a break already. I can see that for some brutal tough shot, but routine shots? No. Unacceptable.
What they are doing is deliberately delaying to "ice the opponent in the chair" tactics in 9-ball. That's all it is.