Kretschmann scalar is discontinuous

I am studying this paper: "Non-singular rotating black hole with a time delay in the center" by T. de Lorenzo et al.

In this paper authors calculate a new metric for a regular, rotating black hole. They find hat the Kretschmann scalar $$K$$ is indeed nowhere diverging, but that it is discontinuous for $$r\rightarrow 0$$: approaching the origin from the equator we have $$K=\dfrac{24}{L}$$, while in other directions we have $$K=0$$.

What does this discontinuity tell us about the curvature of the metric?