Yes
That's why stores let kids buy alcohol and tobacco, of course, because no responsible parent would let them buy that, right?
That's why any kid can go watch any movie in the cinema right?
Yes it's the parents responsibilities. Do you think a middle class single mother has the resources to keep their kids entertained and out of social media for the whole day?
The problem with age verification is 100% the lack of anonymity in its implementation (which I do agree has ulterior motives) - but honestly not the age check in itself