Wool cover/protector for latex topper

I’m buying a 3" latex topper and wanted a wool/cotton cover for flame resistance and cooling properties. I can buy a 360 degree zippered cover or I found a mattress protector that would cover the topper and the mattress for less money(at least while it’s on sale which ends tonight). The wool is only on the top. Does it make a difference? Will the topper slip around? Any advice?