That seems to summarize it. It's not the ordinary stellar history. And at what part of the sun is fusion happening? Presumably not in the iron core. If it's what we assume, hydrogen-into-helium fusion, how did all that hydrogen survive the supernova explosion and remain behind to ignite the burned-out remains of the nova?
"Manuel claims that hydrogen fusion creates some of the sun’s heat, as hydrogen -- the lightest of all elements -- moves to the sun’s surface."There is no iron core in Manuel's theory, but instead a neutron star at the core; i.e., a ball of tightly packed neutrons, 10 miles across, say. No fusion going on in there. Around the neutron star is an iron-rich . . . plasma, I guess. No hydrogen being fused into helium there. No!, the remaining hydrogen, apparently left over from the supernova and pulled back into the sun by gravity is somehow undergoing fusion well away from the core as it floats outward toward the surface of the sun . . . Which stikes me as very odd, because in a ordinary star there is only enough heat and pressure at the very center to fuse hydrogen into helium.
In other words . . . Your guess is as good as mine, LOL!
Presumably a dense inner stellar core made up of heavier elements would attract the 'loose' hydrogen cloud that remained from the Supernova (ie. the nebula would eventually collapse on it's center of mass). At some point the fusion process would re-ignite, I suppose.