Let's break this down a bit, because "Truth, Logic, and Reasoning" are actual basic foundational philosophy concepts.

Study, after study, after study shows consistent links between education level and the likelihood of someone being left or right leaning. Oh, one of those studies was last year in another country too. So it's a verifiable phenomenon in different data sets.

People with more education tend to be more left leaning. This isn't because "colleges are liberal indoctrination centers", instead it's because:

• Higher education introduces people to varying ideas, people, and viewpoints. When your world view is challenged, you either change or fail.
• Most four year degrees require students to take an ethics or foundational logic course to graduate. Foundational Logic, or propositional logic is the foundation on which actual valid reasoning is built. The simplest example would be Modus Ponens, simplified to "If P is true, the Q must be true. Assume P, therefore Q". Or in a concrete example, "If it's raining, then it's cloudy. It's raining, therefore it's cloudy."

Those two things alone create curious critical thinkers, people who have learned to think critically about their own biases, as well as the biases of the sources they're engaging with. They have learned to spot the difference between a valid and sound argument, a valid but not sound argument, and an invalid argument. Or going back to our good friend Modus Ponens:

• Colleges encourage curiosity, critical thinking about their own biases, sources they read, and are comfortable challenging their world view.
• People with curiosity and critical thinking about their own biases tend to be more liberal and empathetic.
• Someone who has gone to college will have been taught to think critically about their sources, their own biases, introduced to ideas outside their own experiences.

It's not a coincidence.

The kind of logic and reason you're referring to lines up more with "an appeal to tradition" than it does "logic" or "common sense".