The problem with all of this is that pool is not an athletic sport. It is not dependent on being taller or faster or stronger. It is dependent on finesse and a solid understanding of geometry.
Wrong! Anyone who thinks men do not have a physical advantage in the game of pool doesn't know what they are talking about.
Matches in the Ultimate Pool Series (the final you linked is one of the tournaments in that series) are a race to eight frames, which means you could have to play up to 15 frames to complete a match with 6 rounds to complete an event. The tournaments run over four days. These are double header events, i.e. two events starting on a Thursday with a final on Friday evening, and a second event starting Saturday with a final on Sunday evening. This means to reach a final, each player would have to play a minimum of 96 games (8 x 6 x 2) and a maximum of 180 games (15 x 6 x 2) over the four days of the tournament. This requirement leads to players being on their feet for the duration of those games.
1. Due to the above, males will have a distinct advantage over females on the basis of stamina alone. Try playing 100+ games of pool over four days and see how your arms, legs and back feel by the time you get to the last day.
2. Then there is upper body strength which gives males a physical advantage allowing them to make a more powerful break. More powerful breaks increase the chances of sinking a ball on the break and gives the breaker control of the game.
3. Men generally have more strength and faster-twitch muscles that make it easier to execute many shots (especially power shots) with more accuracy, control, and consistency.
4. Males are also able to play a faster paced game and so dictate the speed at which each game is played. This gives them an advantage due to stamina mentioned in 1. above
5. Males generally have an extended reach when taking shots, allowing them to not use a bridge whereas their female opponents would. If the breaker is dominating the game due to the more powerful break mentioned in 2. above, then that player needing to play a safety shot often does so in such a way that they leave their opponent needing to use a bridge or a rest. With an opponent who is shorter and lacks reach, this is a lot easier to do. Anyone who has played pool or snooker and had to use a bridge or a rest knows how much of a disadvantage that is.
I commend and congratulate Lynne Pincher for refusing to play against a fake female in this final, thereby giving up her chance to win the trophy and the prize money on an important point of principle!