Comment by netfortius

I don't think this is an either/or problem. Very simply put, the maturity and capability form a two-dimensional "grid", within which each organization fits its levels - e.g. let's say "maturity levels" on the vertical axes, and "capability controls" on the horizontal one. Where the two meet on the grid, you get the two-dimensional org level. I recently had to conduct an org maturity analysis and identified a #1 (out of 5) existing level (i.e. very immature in some capabilities, functions and their associated specific processes), then define and implement a maturity model and path for them towards achieving such, whereas their "horizontal"/capability was in a "semi-automated and developing new" level (btw 3-4).