LG likely you are right as to Cornell and Brown. Columbia with Bags a different scenario. Well see how that turns out.
The difference in academic stadards is minimal and really only is a factor for low band kids. The historic reputation of the Ivies is more a factor in competing with them. Every roster has 3 and 4 * star recruits with multiple P5 offers.
All IL teams match HYP offers. Moreover, need standards may be tighter at non HYP but their aid is still substantial.
All that said I think we can beat Penn. Lots of ifs.