If you replace your shocks with aftermarket I think the general answer to your question about feeling more "solid" over bumps is ... yes. But what does "solid" mean? Sometimes it will be more harsh depending on the shock you choose. I currently have Bilstien 4600 all around and they are more firm than OEM, feel good most of time except over small /medium bumps, get a lot of feedback and as has been explained, it is because they are "digressive" valved.
I have a new set of Dobinson IMS that I just received and am hoping that they will provide a smoother ride over the same bumps but still give that "solid" feel at other times, we'll see. I am 100% street driver.
Do some research on shocks, "Shock Surplus" has some good explanatory videos on youtube as do some other companies.