Cutting curves requires a little more care, but once you've mastered it, you'll never go back to using scissors again! I'll only lay and cut one piece at a time with a rotary cutter. It makes it simpler to see what you're doing and makes it less likely that you'll cut into anything you don't want to.
Essentially, you are free to choose any material that is available and will work for you without causing further issues when you attempt to cut. When looking for an alternative to a self-healing or other cutting mat, there are two primary characteristics to consider.
Changing your rotary blade is something that should be done on a regular basis. It not only makes cutting your fabric easier, but it also helps keep your mat in the finest condition possible.