I don't understand....
"To remove scratches" would entail removing the entire surface of the countertop PAST the bottom of the scratches. Depending on how deep the scratches are, the guage if the s/s skin, and the frequency of the process, you wouldn't have much of a s/s countertop left..... Besides, this would be a very messy, labourious, and time consuming process. I did say messy, right?
Griddle screens remove burnt on oil, carbon and general crud by abrasion, I have no idea on how well they would remove a layer of s/s from, say, a 30"× 72" countertop.
On the other hand, I have shined up numerous countertops with baking soda, coca cola, and elbow grease, sinks too. For small wares like dteam table inserts, bowls, utensils, I fill up the pot sink with 1/3 water, 1/6 bleach, and 1/6 dishwashing liquid soap. A 3 hr soak, and they look brand new, and the sink too.
Does this help?