Very interesting, everything okay now in the BB model for high redshift galaxies seen by JWST, it seems
https://arxiv.org/abs/2307.15305 and the 13-page report on the simulations makes for good reading.
"...Using approximately 25,000 galaxy snapshots at 8≤z≤12 in a suite of FIRE-2 cosmological "zoom-in'' simulations from the Feedback in Realistic Environments (FIRE) project, we show that the observed abundance of UV-bright galaxies at cosmic dawn is reproduced in these simulations with a multi-channel implementation of standard stellar feedback processes, without any fine-tuning."
Okay, the paper states this situation about Population III stars.
"4. DISCUSSION AND CONCLUSIONS We have demonstrated that the FIRE-2 simulations
with a multi-channel implementation of standard stellar feedback processes can reproduce well the observed
abundance of UV-bright galaxies at z ≳ 10, including both the photometrically selected candidates and the
spectroscopically confirmed sources recently discovered by JWST. We further showed that the bursty SFH predicted to be common in galaxies at cosmic dawn is important for explaining the bright-end of the UVLF. With
burstiness included, the simulations demonstrate that a boosted UV emissivity due to, e.g., an enhanced SFE,
a top-heavy IMF, AGN contributions, or Population III stars (see e.g., Harikane et al. 2023b,c), is not necessary
to explain the bright-end UVLF at z ≳ 10."
The new simulation does not confirm Population III stars in the universe or use them.