In real sports, the team that scores doesn't get to keep the ball after scoring. This is to promote back and forth between the teams. But like pool, the weaker team doesn't always score when it has the ball, and the better team still wins more often. Now sometimes the better team doesn't score as often as usual, and the weaker team can squeak out a win.
Alternate break was designed to give each player an equal opportunity. But what you are not understanding, and the math proves, is that equal opportunity doesn't necessarily equate to equal chance.
Every match starting at 0-0 offers equal opportunity regardless of format, it was fine equal opportunity times with continuous break too.
Comparing to different sports mostly doesn't offer anything for evaluation, they are just different.
Alternate break was designed after the usual suspects in Europe earned so much distance from the rest and tournament participation numbers declined, if "equal opportunity" was the goal it would have been applied much earlier.
Isolating math data gives valuable information, but not necessarily a complete overall estimation, and usually that's the case in every scientific analysis, with a basis of "identical conditions".
Those "identical conditions" are gone when you change the breaking format, simply because in continuous break you get to break again and in alternate you don't. That leads to many other factors involved in the match which should be considered and combined during the analytical process. It's a completely different story.