I think that each student has to take whatever course load makes sense for them. Then find a school that fits what they have done.
Some students can handle a long list of AP classes. Some will find this too stressful. Personally I was fine with any math or non-biology science class my school could throw at me, but I would have died in AP literature or AP Euro.
Ohio State is a pretty big university. I have to think that they have room for any student who does does well and gets a lot of A’s and not much else, regardless of whether they were getting A’s in honors classes or B+'s in AP classes.