In the game of Chess, maintaining momentum is the what it's all about, especially during the opening. White always makes the first move. His objective to to control one or more of the squares in the center of the board. Black now counters White with a similar objective, in effect neutralizing white's move. The game progresses in this fashion until one player fails to maintain the pace.
You're calling "momentum" what I would merely call first opportunity. Most people see it as having more value than that.
One considerable difference between football and One Pocket is the momentum shifts to the opposing team once a score is achieved. They get the ball!
Again, you're only talking about first opportunity. I think most people would say that the team that just scored has the momentum. The word actually refers to the force an object with mass possesses as a result of moving forward. It takes an object with momentum or inertia greater to stop it.
One considerable difference between football and One Pocket is the momentum shifts to the opposing team once a score is achieved. They get the ball!
It is a statistical reality that the opposing team gets the ball more often when a team does NOT score. When your opponent's inning ends, you have the table, but if it is handed to you down 7 to -1, few would say the momentum has just shifted to you.
I don't think this is really very important in the real world, but is of interest to me. My son and I watch football together quite a lot, and we always laugh when the announcers observe that the "momentum" has shifted so many times. They don't mean that it has shifted every time the ball changes hands, they mean that one team or the other has just done two or more favorable things in a row following the other team having done so previously.
I don't mean to be argumentative, just fleshing out what I meant previously in light of your response.