My friend does it and I argued with her that the dish sponge scrub should only be used for dishes and not the sink or the counter top because it will make the sponge too dirty for future uses for the dishes. 
Some religions will also not allow you to you your dishes sponge or cloth on anything other than dishes.  I know some South Africans believe you can only wash dishes in your sink and you can only clean your hands and teeth in your basin.  It is a sin to put a dish in the basin or clean your hands and teeth in the sink. They would therefor need a different cloth or sponge for each and every household chore. 