Ok so your washer is a front load he2, yes? Same thing as a Whirlpool duet sport.
I can tell you that there is no way the dryer sheets can be digested by the washer, unless you're using some sort of water soluble dryer sheets. The filter screen in the drain pump body is too fine to pass dryer sheets. I'm not a dryer sheet scientist, so I can't tell you how many times the fabric formulas have been changed. Assuming your statement is true, someone must have made them less biodegradable or larger enough to block the drain flow.
Easiest solution (besides sorting through the load) is to increase your scheduled frequency on the filter check. In my experience, 99 percent don't check the filter until the slow drain happens. When queried, the operator cites the recommendation (unless they know me well enough to be honest). Then, when I open the shell and find a year worth of junk, they exclaim "THANK YOU, I'VE BEEN SEARCHING FOR THAT FOR SIX MONTHS!" That was grandma's hand me down dubulidue from the other country. The what-ifs abound, but that's not me. Again, scientists.