I’ll take a different side. Which school do you want ? They are not the same - PSU is large and gorgeous - walking toward Old Main is just super cool. But PSU is in the middle of nowhere. Pitt is a city campus but is campus and in society.
Which is better for you?
Honors colleges are not all the same. Have you looked at the requirements PSU has a senior thesis - are you interested ? Smaller classes, extra lectures.
Honors colleges are different everywhere. See if the enrichment actually matches your desire. Many kids apply at some, but not all schools, because if this. Or many get in and don’t take advantage when they realize they’re not interested.
Yes, you’ll have access to better advising, programs etc.
But being in Schreyer won’t get you to med school and not being in won’t keep you out. Just like at other schools - where they don’t necessarily impact job prospects. You can’t even add Honors Colleges on the online job apps.
Go to the school - Honors or not - that fits you best.
Both are great options - with or without Honors.
Best of luck.