Mechanical filtration is just that . It captures and holds it until the sock is removed and cleaned or it breaks down in the sock. If it is breaking down in the sock, then the sock seems pointless as a mechanical filter because it is suppose to be removed from the tank before it breaks down and becomes nutrients for something else. In my socks, I often have algae from cleaning rocks or something that breaking loose (i have a bit of an hair algae issues I am trying to control which perhaps might not release much back into the water over 3-4 days, but it smells fishy, bad, and would hamper use of a carbon reactor) For my sump, it is easier to clean out the sock then any other part of the sump.
I don't know your terms 'mulm' and 'cuc', so if you can private message me what they are, I'd like to look at them and not be silly in guessing that it is something I already have seen and because of age, forgotten.
Its my understanding that mechanical filteration helps reduce the load upon other filteration techniques such as skimming. Another poster noted how their skimmer works 'better' when they stopped using filter socks. the skimmer would have less to pull out of the water if mechanical filtration was being used which seems to show that it was doing something effective at a considerably lower cost than a skimmer or upsizing a current skimmer. When purchasing a skimmer, BRS has a video that you can actually downsize the skimmer if mechanical filteration is present. My first skimmer i purchased, I thought I needed to spec for the total water volume without consideration for other filtration.
For the OP, it already seems that they are leaning towards more biological filtration with their habits, but there are other benefits to mechanical filtration for the other hardware in the sump which one can consider if you are going to ditch socks or mechanical filteration all together. Like I said prior, I ran my first setup without any mechanical filteration which opened me up to other issues which mechanical filteration would have literally caught.