"A better player will win in a longer race"
Not true. Longer races actually favours the weaker player.
In longer races (i.e. race to 100), a lower level of concentration is sustained as nobody can operate at maximum output for extended periods (even 100m sprinters are only at maximum effort for about 10m, according to Usain Bolt). Short races (i.e. race to 5-10) requires peak effort in all aspects; shot making and strategy. In a long race the stronger potter is more likely to prevail whereas in a shorter race the better all around player will turn down a 60-80% pot for a 95% safe. The added pressure of the increased cost of errors heightens the need to make better decisions.
Discipline, strategy and execution are more valuable than in a needlessly long race where simply making fewer potting errors in a lower quality mach will suffice, so the better player, the player better able to achieve a higher level, is more likely to succeed in a shorter race.
Are you from WA. State? or perhaps Colorado?