I agree with the point that soccer & basketball are more of a body to body physical play than volleyball. The physicality in soccer and basketball does challenge the younger girls playing up as I have seen under classmen get roped by older girls in those sports. I disagree to softball being more physically demanding than volleyball. I would suggest you go watch a completive high school volleyball game and you will be amazed at the size/athleticism and how hard these girls can hit a volleyball.
Not sure how to apply that to a public vs private sports program
Not saying volleyball girls are not athletic, that's why I hesitated saying some of it. And believe me, I've seen ALOT of volleyball in my life, both high school and college. It's just less of a physical sport from a contact of the opponents. Heck, many vball players don't even like touching their teammates let alone the other team.
I will push you a little on softball, not that you have to be a great condition, but there are ALOT of skill sets in softball / baseball that are take it leave it as you climb. If you can't hit a pitched ball, that's pretty much it for softball. Softball players have to be able to catch and throw quickly, run, some hit for power, bunt. Don't tend to see alot of tall softball players until you get to the big time D1 pitchers. Volleyball is hit/ block, or pass, dig, the setter has some other responsibilities.
My point about the privates is that I feel you tend to see the volleyball type athlete more at private schools.