I discount certain aspects of it. The recent data from the JWST might provide some evidence to support this. I keep reading about how the youngest galaxies (<300 mys) shouldn't be there based on BB theory, so there is a little more than speculation to question the absolutes of the "old" BBT. Not all of it is wrong, but apparently some of it is.
It makes for better headlines when there are hints BBT is wrong due to a new JWST discovery. But if you look deeper you'll find that it may not be mainstream. There has always been a lot of wiggle room on what happened between the CMBR and the beginning of star formation leading to Reionization. The JWST was built to give us data to better develop models. The data so far doesn't do damage to the BBT itself, but only those models which favored a slower process.
Keep in mind that the redshift also tells us the volume ratio of the universe. The CMBR has a redshift of about 1100. As expansion continued, at some point, the first protostars formed and they would, on average, all be much closer to one another, perhaps 4 or 5x closer. This proximity along with their, apparently, very large mass, would cause greater gravitational entanglement, allowing for faster galaxy formation, IMO.
Based on what? Again, physics suggests such a mass of H and He in such a compact region should not exist as a star - too unstable. But you can have it this way if you like.
It's not my opinion. Do you need reference papers that give numerous estimates on how, without any "metals", a star can form only if the mass is great enough. The debate seems to be how massive, with some estimates over 1000 suns, IIRC. I've not followed this much, admittedly.
My tweak to the BBT on this is that such a mass would form a PBH (without SN), rather than a star with a superfast lifespan.
Have you found any models that show this? Don't forget the ideal gas law. As H and He collapse they get hotter and will then expand, preventing any star formation, especially a black hole.
To get any cloud to collapse and form a star, even today, has taken a lot of science to explain how it could happen. SN can compress clouds, but this assumes something else produced the stars to allow SN. Supersonic flows within clouds are also seen as ways clouds can collapse.
The "metals" allow protostars to dump their heat and allow further collapse so that a core can begin fusion. So with just H & He, it takes much more mass concentration to allow necessary collapse.
At any rate, none of this rules out smaller stars forming at the same time, and a lot more of them. And many could have been blue giant stars quickly creating all the metals one needs to meet the spectral data. No Pop III required.
Do you have any reference papers on how a small star (low mass) can form with only H & He?