Painkiller sometimes does that, but other times it gives you levels like Docks, where as much vertical traversal is expected as horizontal: https://www.youtube.com/watch?v=5-0yJ2V41Jk
I'll happily agree that Painkiller has some more variation then SS, but on the whole it's much more focused with wave-based arenas. This isn't a knock against Painkiller at all, it's a favorite of mine - yet it's still a bit inaccurate to regard it as classical level design.