Mr. and Mrs. Applecart both have full-time jobs and four children; they don't have time to home-school and wouldn't know how if they did. Their lives would be more functional if the threat is overblown, so they believe the threat is overblown.

Mrs. and Mr. Bandersnatch work in the mining industry. If scientists are correct, the fossil fuel industry is going to lead to climate collapse within about twenty years. Their livelihoods depend on oil extraction. They have a vested interest in being skeptical of scientific authority.

As someone else here pointed out, the study doesn't seem to factor economic security. I bet you would find a very strong correlation between economic security and willingness to keep children at home that would cross political lines.

(yes, I know, confirmation bias cuts both ways)