Thanks. I had actually liked that post back in August when it was posted but forgot about the part about actual average percentages of infectiousness
The averages were 84.9% infectious for unvaccinated and 68.6% for vaccinated (P = 0.005) so being vaccinated makes 1 in 6 COVID-positive people not infectious when they otherwise would have been - obviously on top of making it much less likely to get infected in the first place.
The study also specifically says that asymptomatic breakthrough cases have lower viral loads than in symptomatic breakthrough cases, which answers a question I had in the other thread
Table 1 shows the distribution of Ct-values of the breakthrough infections, as a proxy for the nasopharyngeal viral load. Ct-values were significantly lower in symptomatic breakthrough infections (μ = 23.2) than in asymptomatic breakthrough infections (μ = 26.7), corresponding to higher viral loads (p = 0.022, t-test).