Code word compartments cut horizontally across the Confidential/Secret/Top Secret hierarchy. I’ve seen stuff that was classified Confidential, but also in a code word protected compartment. I had a TS/SCI/SI/CT/NATO/ATOMAL clearance when I worked for the Defense Information Systems Agency in the Pentagon. Many times over the past 25+ years I have had to correct people who think the compartmented stuff is classified at a level “above Top Secret”, when in fact the compartments just cut horizontally across the hierarchy.

Below Confidential exist other “unclassified” states, like “For Official Use Only” and “No Foreign” (a.k.a., NOFORN). Then, regardless of the classification, you should also have to prove “Need to Know”.