The linen fabric strop is to clean the razor of skin, blood, soap and oxidation (rust), so you will not imbed all that junk into you leather strop. Once imbedded into the leather pores it will never all come out, which is why we see random, large deep stria on magnified photos of bevels.

Look at your razor under magnification, before you strop it. All that “stuff” can affect you final edge if you are stropping on it. Linen stropping may cause some edge re-alignment and polishing, but mostly it is for cleaning.

Linen and cloth strops can be washed with soap and water and while all contaminants may never be removed, small amounts of contaminates will not grossly affect performance. But if one seeks the best, finest edge quality… it is some to be considered.