[Technical Question] Do worn out shock absorbers/dampers let in more road noise?

[autoque]

When the vehicle takes up more mileage, with the dampers getting worn out, do they transmit more road noise over bumps and pot-holes?
The road conditiono here is awful, so I have to drive over lots of bumps, sometimes extremely deep and sudden crater-like dips (even today I went over one of 'em), so my vehicle's dampers are likely wear prematurely, but I want the road noise to be as minimal as possible so long as I own the vehicle. So I was thinking if I should include shock absorbers in my future maintenance list. Thanks in advance.

Edit: For now, the road noise is mostly soft, suppressed and hushed sound over bumps and pot-holes. But I was curious if this is going to get worse as the vehicle ages, and what I can do to prevent it.