I am 99% sure my DD would not be going to the school she is going to if it were not for a NT invite(s) --so before they are committed (U14's/15's/16's) it's worth saying yes to the invite-- looks very good on their soccer "resume" and college coaches become interested-- some very high ranked academic schools.
So as Justafan said:
"To me, the end game is just to use soccer as a tool for admission to the best academic institution possible. "
I say yes-- EXACTLY right!
That's why you say yes to those early NT invites-- the high schools & teachers & school district will work with you.
Later on-- after your DD has committed- if you have to decline for an academic reason, it happens....or like MAP said, most declines are because of injuries...but at that point they are already committed to one of their dream schools