When I went to high school (a public high school from which about a third of graduates then went to four year colleges) decades ago, there was no dedicated college counseling department. The regular counselors (probably about one per hundred students in each class, so each one handled about four hundred students total across the four classes) handled all of the college related advising then, in addition to all of the usual high school counselor tasks. Fortunately, back then, the state schools did not require counselor or teacher recommendations (same as now), most of the state schools were not selective (or not much more selective) beyond the published baseline GPA and SAT score tables, and cost was much lower and therefore a limiting factor to fewer students.
I could see that attending a luxury class private high school would be helpful to a student who needed more college counseling or similar services to stay on track, or was aiming for (or being pushed by parents) toward luxury class private colleges (whose admission processes require or favor more support from the school like recommendations), even if the more self-motivated high school students could do well without luxury class amenities.