Vaccinated individuals hit the same peak mRNA loads for the same symptom severity on average. Their time to recover is faster though, and at peak you recover less viable virus indicating they are producing more viral debris.
And that's after fewer people who are vaccinated catch the virus, and there's more aborted infections and asymptomatic infections after vaccination.
All of those studies use PCR Ct values as proxies for viruses and compare vaccinated and unvaccinated individuals with similar symptom severity, and it turns out that correlates at peak because symptoms are on average due to antigen loading. Those studies aren't very good at showing how effective vaccination is at preventing transmission. They just show that its nonzero.
