I don't like playing that card, but I am a physicist, a cosmologist actually, and I wrote in my last post how it breaks. And I used the qualifier "approximation

I don't like playing that card, but I am a physicist, a cosmologist actually, and I wrote in my last post how it breaks. And I used the qualifier "approximation" in my first post of this thread. If you don't assume homogeneity on large scales you don't get a big bang. Or at least I'm not aware of any of the routes you are talking about. Even observing receding galaxies does not necessarily imply a big bang, which is why the debate wasn't settled until the discovery of the CMB. Until then, the steady state universe was still viable, which is basically an eternally expanding universe.