Logic would also state that people who are carrying and have fewer or no symptoms (like the vaccinated are claimed to be) are more likely to spread it since they are not staying home and are out and about.
Maybe. It is possible for someone who is vaccinated to contract COVID, but usually with fewer symptoms. Supposedly, fewer symptoms also means they are likely less contagious. Some may not be staying at home, as you suggest, but others are.
My grandson and his fiancé felt ill earlier this week. Concerned that it could be COVID even though they are both vaccinated, they stayed home from work and wore masks around the house so as not to spread the virus to the rest of us. Fortunately, they had the flu and not COVID.
Seems like this one is a bit of a coin toss at the moment 'Now, evidence suggests that about one in five infected people will experience no symptoms, and they will transmit the virus to significantly fewer people than someone with symptoms. But researchers are divided about whether asymptomatic infections are acting as a ‘silent driver’ of the pandemic.'
https://www.nature.com/articles/d41586-020-03141-3