More than once in the previous posts it has been mentioned that drainage is key. As such, I think the point of the porous liners is somewhat missed here. Whether it is Better Billy Bunker ('glued' porous stone bed), Matrix (porous asphalt) Capillary Concrete (porous concrete) or Blinder (porous crumb rubber), they all create a drainage layer in the bunker, helping getting the water to the drain lines as quick as possible, which prevents washouts. The binding material in each just stops the drainage substance from contaminating the sand. The added benefit is that they prevent contamination from stones, silt etc working their way up from the underneath. The older fabric liners had no real drainage properties so were limited in their longevity.
So to answer the title - A bunker can be designed to minimize liners (ie the liners I mentioned above) but it is not necessarily as simple as saying that if a bunker needs a liner it was badly designed. For example I just rebuilt a bunker that had a large face but after a big rain, barring a few little rills, never washed out. It was still in a bad state as it was full of stones that had worked their way up from the base. It was far from a badly designed/built bunker but it needed help and the liner was a solution.
I've experimented with different construction methods and liners over the years. As mentioned, drainage is very important as is making sure water is diverted away from the bunker in the first place. After that comes the bunker shape/design. If the bunker is designed to have flashed sand it needs to be designed so the sand can naturally stay on the slopes. However after all that is correct, depending on the environment there can still be potential for washouts and contamination from below.
A personal example that design alone doesn't necessarily help is when I tried using a sod liner a fews ago. The bunker was reshaped. Once the sod knitted it looked like it was going to be a winner. However after it was filled with sand for a few months I found that, while the sod held up great on the floors, it 'wore' away on the faces that saw water - so while it worked in one scenario it didn't work in another. The porous liners greatly eliminate the risk of failure and are a permanent solution that greatly increase bunker longevity.
The USGA states the life of a bunker is 7 years; the porous liners greatly extend this as the sand does not get contaminated and continues to perform as it should. As Scott stated, the savings in labor and replacement material in repairing damaged bunkers makes the decision to install them a lot easier and that's before the downtime/inconvenience of the repairs are considered.
Due to the amount of variables in bunker design and the environments they are in, to blankly say liners are the result of bad design is misleading.