Does switching shaders and root signatures add to the overhead of switching a PSO?

I know some people will find this question stupid, but it is not stupid if you don't know how SetPipelineState exactly works. If I switch the current PSO to another one with different shaders and root signatures, will that be more expensive than switching to a PSO with the same shaders and root signatures as the current PSO? In other words: does switching the shaders and root signatures add to the overhead of switching the PSO?