I think that’s true. The parents set an example and a standard in the home .. and it just naturally rubs off on the kids. A lot of times, it’s the parents taking the kids with them, such as when they do kind things for other people, so the kids can see how to treat people; older people, or sick people, or physically handicapped people, etc.
Children do learn by what they see and hear.
Example: While my mom was a democrat most of her life, she was very active in our community. She would open up our home every election as a polling place. I realized years later that her actions were probably responsible for my being so concerned about elections, and/or politics in general.
Did you grow up in CA? They have all kinds of polling places, and IIRC, by law have to have one for every 800 voters or some seriously low number. I remember voting in a neighbor’s garage when I lived in Newport Beach !!
Here in Northern VA, we use only the cafeterias/auditoriums in the public schools (that always have a long weekend preceding the elections). And we usually have @ 1200-1500 registered voters per polling place (# of voters is another story).