Pointiness colors whole faces, so to get that sort of effect you probably just need to add more polygons. It’s pretty touchy and highly dependent on the amount of geometry present. Check out what happens when I add segments to a bevel on the cube:

You could also try using the AO node, which is much slower but will work in a lot more situations. ‘Inside’ will help you find sharp edges. Turn that off and you’ll get cavity shading.
