I concur with the later opinions.
I think most corys will interact with other corys if there is nothing else for them.
I started out with a bandit cory and a pair of bronze corys.
The bandit is slightly larger.
I lost both bronze corys pretty early.
I picked up five pepper corys shortly after the bronze corys died/disappeared.
I lost two pepper corys but got replacements due to the LFS policy.
I picked up another bandit cory (both were bought from Wal-Mart - go figure!) after all of that.
Now, the (cory) count stands at two bandits and five peppers.
The bandits are slightly larger - about 1.5" each.
The peppers are about 1" each.
The first bandit was never that active until the bronze (and then peppers) were introduced.
He would interact with them, but nothing close to when the second bandit was introduced!
Most of the 5 peppers now shoal together most of the time.
The two bandits now keep together.
So it make sense that corys will interact with other corys if they are all alone, but they prefer the same type (or at least the same colorings?) better.
I've wanted to try some panda corys, but my tank is too overstocked at this point in time.

Maybe when I eventually move the yellow labs and the CAE, I'll turn the 10G into an all cory tank.
I'm hooked on corys!