The reasons that lead to these situations are extremely complex socially and they are not the same for every family, region, population group etc. It is not (just) about isolated families with shitty parents. I am not saying that there should be no child service intervening etc (which also should not always be just about taking children away), but that thinking that there is a fast, easy solution ignores the complexity. If child services intervene, it is often hard to actually change living situations. Taking children away is not always better for children, and often there is no good system in place for taking care of them, to put it mildly. There is no way to just "take children away" at scale in a way that is not making the situation shitty for many of them, like how it worked for aboriginal people in australia and greenland, and in general there is an important specificity problem when such approaches scale (which also is highly affected by cultural, racial, socioeconomic and other biases). In the best case (hypothetical) scenario that there is actually good will by the state to solve these, it would still take years if not decades. So I don't see that as a good argument for not giving free school lunch to kids.

Yes weekends and summer is a still problem in terms of food, I am not sure how it could be solved, but it is definitely not solved by not giving food the rest of the year too.