The aim of this note is to take another side view of the result of authors. The preprint mainly concerns Nielsen-Thurston type of a surface-automorphism and its behavior under drilling a surface. In this note, as an application, we consider the hyperbolicity of a knot appearing as a section in a surface bundle over the circle admitting a Seifert fibration. Although no Seifert fibered 3-manifold is hyperbolic, it is conjectured that there exist plenty of such hyperbolic knots. We will actually confirm this in some cases by describing when such a knot is hyperbolic in terms of the projection of a knot.