Seemed to me that Yungerman was referring to secular studies in the context of a religious school.
Yes, but even there, the difference between a K-12 school teaching the "times tables", biology, and long division
is a different issue than learning and delving into Shakespeare and Huckleberry Finn.
Also, the post-high school degree, and the intent of the pursuit matters, as well.
i.e. the goal of being a millionaire as an 'end in itself' vs.
the goal of using talents to support family, make a Kiddish Hashem, and elevate aspects of the world to bring Moshiach...
There are people who are experts in certain areas, so the Rebbe would make exceptions for them.
Generally, I've never seen an issue of the Rebbe not supporting a high-school diploma,
however, the support for a college degree was usually very dependent on the student's talents, abilities, age, gender, if living at home, if single/married, what types of classes, campus environment, the mindset of the teacher in regard to belief in G-d, etc...