In my travels, I often meet people or visit organizations that say something like:"We're doing Lean... we just call it Process Improvement."
They have a "Process Improvement" (PI) department, or they call it "Continuous Process Improvement" (CPI). They have people in roles like "Process Improvement Facilitators."
While process improvement is great, in using a term like that,there's perhaps a risk that they miss the full and complete essence of Lean and, therefore, don't get the results that they might hope for.