logically, it is true.
follow the logic. The vaccine does NOT prevent you from getting COVID. If it did, we would not have the spike in cases at places like Cornell, with a 97% vaccination rate, or in countries like Gibraltar, which has an over 99% vaccination rate. Yet Cornell was recently closed due to COVID and Gibraltar has seen an increase in new infections recently. (https://graphics.reuters.com/world-coronavirus-tracker-and-maps/countries-and-territories/gibraltar/)
Therefore, even if you are vaccinated, you can get and transmit COVID.
However, if you are vaccinated you are less likely to be hospitalized. You are also more likely to be asymptomatic. (https://www.businessinsider.com/fully-vaccinated-two-doses-vaccine-asymptomatic-unvaccinated-covid-zoe-study-2021-9)
That increases the chances of transmission since you can be infected and not show symptoms that would signal you to quarantine yourself.
Therefore - what I said is correct. If you disagree, prove that I'm wrong using logic and facts. I'm willing to concede I am wrong IF you can actually prove it. I make decisions based on logic and facts, not on emotions.