I can niether prove nor disprove this, but I think people who took the covid vaccine catch colds more easily and regularly. Is this true?

Based on my observation I think people who vaccinated against covid catch colds/flu more than people who have not taken it. I have no statistical data to prove this but whenever I hear someone say they have a cold in summer, which is rare where I come from, I ask them, you vaccinated right, and they all say ya.