I taught for 10 years at a fairly affluent large suburban HS in Waco in the shadow of Baylor. Thinking about it, we did send a few students to Ivy League schools and places like Stanford every year. Mostly ultra-bright STEM students who’s parents were Baylor professors or engineers at places like Space-X (which has facilities in Waco). But after that it was a whole lot of very top students going on to UT, TAMU, and the local privates like Baylor, SMU, and Rice. Pretty much zero interest in private non-Ivies outside of Texas except maybe Vanderbilt and Duke and the nearby state schools like Arkansas, Oklahoma, and LSU which absorbed the spillover of Texas students who didn’t get into UT or TAMU. I can’t think of a single student in 10 years of teaching who sought out a fancy northeast LAC. I don’t think any of them had their careers or futures within Texas or the Southeast/Southwest negatively affected as a result.