Delta allowed for breakthrough cases; the rate was dramatically lower than unvaccinated overall (I handled reporting on some these stats in our region).
I haven't been as involved since the start of the omnicron variant, but my understanding is that the relationship still holds that prob(infected | vaccinated) < prob(infected | unvaccinated and no reported prior case).
COVID-19 intensity of illness was (and may still be?) associated to the relative infectiousness of an individual to others in their network (across the entire episode). So an asymptomatic individual (vs. presymptomatic before intense illness) was less infectious overall.[0]
> Question What are the characteristics of SARS-CoV-2 G614 viral shedding in incident infections in association with COVID-19 symptom onset and severity?
> Findings In a cohort study of persons who tested positive for SARS-CoV-2 after recent exposure, viral RNA trajectory was characterized by a rapid peak followed by slower decay. Peak viral load correlated positively with symptom severity and generally occurred within 1 day of symptom onset if the patient was symptomatic.
[0] https://jamanetwork.com/journals/jamanetworkopen/fullarticle...