Not really similar, although I believe I understand your point.. Aside from the obvious, the main difference between the two is that tennis is an interactive game where both players are constantly engaged with one another and pool is not. In tennis, unless the server serves four consecutive aces where the receiver cannot even get his racquet on the ball , the receiver gets numerous times "at bat" with opportunities to win points and possibly "break" and win the server's game. Granted the better servers rarely get broken, but the receiver still has opportunities. Whereas in pool when the breaker makes a ball and runs out the entire game, the opponent never even gets an opportunity hit a ball.Allowing a tennis player to continue to serve as long as he wins the game is folly. It is to the detriment of the sport.
No use using comparisons, I doubt that pool will influence tennis rules...and visa versa.