>Rather than compressing particles [...] If you packed enough photons into one spot

I haven't watched the video, but if we're compressing electrons, neutrons, or other fermions, I imagine if we want to keep compressing that down to an arbitrarily small radius, won't we pretty quickly find it favorable to shift those fermions to something else, probably photons, to respect Pauli exclusion?

Really, I don't know enough physics to figure out the reason why it shouldn't always end up in this incorporeal energy-curving-space situation either way, if we're compressing arbitrarily far.

Pauli exclusion is a QM thing. Black holes are a GR thing. Famously, we don’t know how to mix the two.