What do you mean, you don’t know what they learned today? Hope not. Please share.
Maybe I was no clear why I brought this example. The chol subjects are not a substitute for kodesh. What I wanted to illustrate that these subjects are not all shtuyot. They open a way for a different discussion. The kid himself flagged the issue, we discussed that, he is not going to confuse aseres hadibros with the school version, but he now understands how the world sees it, how they transferred some Torah values into modern “weekend”, how they lost part of meaning because they do not know the Hebrew original.
Of course, if this would be done outside of supervision, the results will be negative. For example, some of my kids had pretty liberal chol teachers, who blew up over Trump and probably wasted some of the class time on that. I don’t think they affected the kids, as the kids were making fun of them, probably not to their face, but it could have happened, I presume.