Comment by AlexandrB

I think there's a broad perception that education professionals are ideologically captured by the left. It's hard to know how true this is, but individuals like "libsoftiktok" have made a career out of stoking that fire.

Also, unlike your other examples of strangers working on things, there's not really a feedback loop of review and rework where mistakes can be corrected. If your child gets a bad education, that's time lost that's really hard to recover and can set them back for life.

Edit: To add, the "ideological capture" perception is important because of what education is. When you're dealing with an electrician, it doesn't matter who they vote for because electricity works the same way regardless. Teachers don't just regurgitate information but promote a set of values and expectations in their classroom so their personal opinions can matter a lot. And that's not even getting into teachers who explicitly try to teach students their worldview.