Is Open Carry Really Legal in Ohio?

Yes. It is a constitutionally protected right in Ohio. See Klein v. Leis, 99 Ohio St.3d 537.

I have received a couple calls on this issue so I wanted to put this here to clarify.  In Ohio, you may open carry.  Now, there are some restrictions as usual such as you cannot open carry and walk into a bar.  You also cannot open carry and enter a federal building.  Even CCW permit holders must leave their firearms in their vehicles when entering a federal building.

As always, when in doubt, it is better to ask than to take a chance.