I'd be more concerned with the cost of the product you are using.
1/2 roll of paper towels?? Sounds like you are spilling too much food on the cooktop or don't clean often enough.
For heavy burned-on residue you may need to use a scraper.....I see a single edged razor blade is recommended but I would be very careful and prefer to use a plastic scraper.
For regular burned-on reside use the cleaning pads that came with your product and wipe with a soft cloth afterwards.
It's a good thing I never had any sanity......I would have lost it by now.