There's got to be a better way
Seems to me you could make some kind of a mold, either by using another area of non-skid, spraying pam on it, then laying down some fiberglass, and carefully pulling it up when dry, or anything that would hold the pattern, even silly putty or car filler (bondo). Then patch the repair like normal, but instead of laying down wax paper, just use your covering with the pattern instead. Again, if it was fiberglass, just spray it with pam or something.Might take a couple trys to get the height exactly right, but at least the pattern would match.