That is correct. In A/AA girls soccer, for the previous 5 years, including the 2013-14 school year, there have been 40 state tournament slots. 22 have gone to private schools and 18 to public schools.
Something that is often overlooked is the breakdown between A and AA schools in sports where the two are combined to form A/AA. Keep in mind, in football, this would be four different classes. In those same 5 years, the breakdown between A and AA schools is 36 AA and 4 A.
Boys soccer is similar over the past four years: 32 slots, 14 private, 18 public. 29 AA, 3 A.
I'm going to be releasing a study in the next week to 10 days on the state tournament and championship breakdown between private/puiblic, combined classes breakdowns, and rural/metro across all sports in TSSAA over the last five years.
Should be interesting.