One of the central questions in causality theory is whether spacetime singularities signal a breakdown in the regularity of the metric tensor of the spacetime. This leads naturally to the next question: Can a given spacetime be extended further beyond the singularity by lowering the regularity of the metric tensor? More precisely, can it be isometrically embedded as a proper subset of a larger spacetime equipped with a less regular, say continuous, Lorentzian metric? If such an extension exists, the spacetime is called $C^0$-extendible; otherwise, it is called $C^0$-inextendible. The problem of $C^0$-(in)extendibility is closely connected to two major themes in general relativity: the geometric meaning of spacetime singularities and the formulation of the strong cosmic censorship conjecture. A breakthrough in this direction was Sbierski's proof of the $C^{0}$-inextendibility of the maximal analytic Schwarzschild spacetime. In this talk, we will discuss how Sbierski’s method can be adapted to a broad class of warped-product black hole spacetimes with a static exterior region. These spacetimes are globally hyperbolic, have codimension-two Riemannian fibre, and possess a curvature singularity. Assuming moreover that the fibre has certain topological properties, precisely compactness, connectedness, and homogeneity, we will sketch the proof of $C^{0}$-inextendibility of such a class of spacetimes. This talk is based on joint work with Clemens Saemann.