Where have you read those articles? Oo Some magazine sponsored by conventional farmers?
If you buy from reliable, certified sources, then the "natural pesticides" (did they mention what those are even supposed to be?) are heavily regulated, they are only allowed to use them in very small quantities. And no, those are not worse than glyphosat and so on, no.
In fact, I do not KNOW of any "natural pesticides" except copper, which is a substance that is naturally found in the earth, and in your body, and the problem with it is only that there could be too much. Which isn't going to happen because it is regulated. (Also, I only ever heard of it being used for wine)
Oh, and there's the some bacterial poisons ... well, organic farming might use those as pesticide, genetically engineered (non-organic) farming takes the genes that causes the bacteria to produce this poison and put them into the corn plants to the plant itself produces the poison and accumulates it in all parts. What do YOU think is safer if that poison is bad for you?
Organic farming nowadays is especially done with the target of NOT poisoning the customer, so even if your grandparents would have used something poisonous which is found in nature, this is not likely to be the case in organic farming.
Our grandparents generation lived shorter because they experienced wars and had less acess to medical care, and less medicine in general.
The logic is nonsensical. You could just as well claim that air pollution is good for the health because there was none in the Middle Ages and people died early.