Sure, regionalism matters a lot. For example, I've heard Cornell is highly regarded in the Northeast, but most people don't know it in the South.
Haha, yeah sorry I wouldn't put Pace quite up that high. Your top 5 are similar to mine and clearly all national schools. BU and Ohio State seem pretty regional to me. I mean, I think people not from the Northeast are more likely to be somewhat familiar with Columbia, NYU, and possibly UPenn and GW (if that's a "Northeatsern school") than BU. Everyone's heard of Ohio State but I'd guess mos people just assume they have a good football team. Maybe they are well known for their academics too, but certainly not as much as Michigan...