The Short Version
This claim conflates a shared mathematical label—"singularity"—with actual geometric resemblance, which standard cosmology does not support. In the mainstream FLRW model, the Big Bang is a homogeneous, isotropic expansion with no black-hole-type event horizon, and its singularity structure differs fundamentally from a black hole interior. While speculative "black hole universe" hypotheses do propose such a connection, these remain contested and non-consensus. Presenting this resemblance as an established physical fact is misleading.