I wash my socks 1-2 times per week in a high efficiency washer, but haven’t seen any effect on the skimmer, so I wonder what’s different. I throw them in the washer (no pre-wash to clean the washer), run normal wash with bleach plus extra rinse cycle. You don’t need the bleach unless you are mixing socks from different tanks. I wonder if your laundry detergent is leaving residue - we use various brands (whatever’s on sale) of free & clear type detergent. Try skipping the bleach to see if that’s the problem, if not, might try using a different detergent?