Yes indeed. Say you're creating a new component, and this new component will contain (among other things) some existing component, but the existing component needs to be styled slightly differently in this particular context. How do you deal with this with inline styling? Threading around this information between the components in JS to make the old component aware of the new one seems clearly wrong. A good old-fashioned style sheet handles it easily and relatively cleanly.
I've seen that inline CSS seems to be the latest trend, but I haven't really read up on why myself. Is this post really the current thinking? I find it completely uncompelling.