The funniest thing is that they tend to rise, rise some more, until they reach a level that they're not really skilled enough for, and that's where their career plateaus. In case you wonder how all the incapable people end up there.
Yeah, there's a theory that people tend to get promoted to their level of incompetence.
Also related is the "Dilbert Effect" where the incompetent get promoted to management so they can't screw everything up by doing actual work, so they get to just have meetings instead, while the competent workers continue working away.