I’m no expert but I think that was the heart of the “problem” seen by Rachel Carson and “Silent Spring”.
She wanted to say DDT was bad and that it hurt birds. I think the evidence has shown that DDT is quite harmless and did not do the damage she claimed. The “thinning of eggshells” in particular was a myth. Basically, DDT is effective against insects, as it was intended to be.
But this did disrupt food supplies for birds and may have resulted in changes in bird populations. They weren’t poisoned. They just went somewhere they could find more bugs to eat.
IIRC when the House held hearings about the danger of DDT the company president, while testifying, kept a bowl of DDT beside him and once in a while took a spoonful of it.