You cannot conclude your 2nd sentence from your first. The relative rates of serious disease AND the transmission rate have both been demonstrated to be lower

You cannot conclude your 2nd sentence from your first. The relative rates of serious disease AND the transmission rate have both been demonstrated to be lower for vaccinated and boosted people - even with the Omicron variant. Vaccines, even when not fully effective, greatly reduce the amount of virus you shed, and thus significantly reduce transmission. Anecdotes are near-worthless, but I will share that my neighbor got covid. He was vaccinated and boosted. His wife and him felt sick, as did their infant (obviously not vaccinated), for two days. TWO DAYS ONLY. ...and their other two children never contracted it at all - tested negative twice each. Getting vaccinated reduces disease severity AND transmission.