The new Wolfenstein was more like Half Life, and not a pure FPS. With restricted movement in several gameplay passages, slow narrated passages, etc. A very good game for sure.
What is this definition of "pure FPS" you're using? Isn't FPS simply First Person Shooter? If HL is not an FPS, I don't know what is. FPS article in wikipedia has a screenshot from the original Half Life.
Any future source code releases won't happen with ZeniMax Media as the owner of the IPs. They are investing all their studios in the use of the same engine.