Are there any instances of OSI licensed code that are not Free Software making my statement here invalid?

I was attempting to direct that when software is called Open Source and actually is based on OSI licensed sources, then they are likely talking about Free Software.

The last time I heard a comment along those lines I was attending a session by an Open Source person and up on screen they had a picture of RMS dressed as Che Guevara.

All those silly ethics, they get in the way of the real work!

Since you didn't get a real answer yet: Absolutely. For example, MIT is an OSI license but it's not Free Software.