Occasionally while sanding a bowl I find a hairline crack. Filling it with CA glue leaves a blotch around the crack where the glue soaked into the surface. I have learned to avoid this by the following method.
Using an old candle I rub around the crack parallel to the crack. Then I take a dental hook tool and clean any wax out of the crack, then fill the crack with CA and spray on the hardener. The wax sands off, leaving the filled crack.