Good question. I've never thought about why there aren't more savory foods out there that use oatmeal. Seems like all the oatmeal-based foods I've seen are sweet.
I suppose that's because they are rolled. And most likely steamed as well. If you subjected wheat or corn to a similar processing, the outcome would certainly be the same.
Traditionally yes, and oatcakes are pretty common here as well. Bulk produced oatcakes are sometimes sweetened and rather compressed, proper oatcakes aren't sweetened and have a much rougher texture.