“Yechezkel, Rav Sololovetchik and Rav Hutner were certainly giants of their generation, but they only went to university after they had mastered much if not all of shas and poskim.”
I’ve often pointed that out — and the same is true of the pre-modern university educated rabbis such as Rambam and Sforno. In our times, Rav Lichtenstein and Rav Tendler were already Roshei Yeshivot when they started their doctoral training — but they both had earned undergraduate degrees earlier.