I’ll just add that the original lead researcher (Dr Laura Hewitson) from the “pilot study” in question here later conducted (alongside other researchers) a more in-depth study that demonstrated no causal evidence.
In-Depth Study:
https://www.pnas.org/doi/pdf/10.1073/pnas.1500968112
And summarised here:
https://www.johnson-center.org/research/page/pediatric_vaccine_schedules