We don’t know that an object with 1 gram less than needed to become a black hole will be a neutron star. There may be other denser states or matter in between, like quark stars or strange stars that are still not dense enough to become black holes.
Under GR it doesn’t matter since as the mass increases beyond a critical point an event horizon will form and all that matter will be compressed into a singularity regardless.
Under GR it doesn’t matter since as the mass increases beyond a critical point an event horizon will form and all that matter will be compressed into a singularity regardless.