"Unintentional poisoning" is 36k deaths, according to Adele's link. Food poisoning is only 3k deaths (5k according to an older article). I think most of the accidental poisoning deaths are drug overdoses. Half (broken link) of those are legal drugs. 2/3 of the legal ones are opiates, 1/3 benzos.
I am not convinced that food poisoning is even included in accidental poisoning deaths. Wonder has deaths classified by ICD codes. About half of accidental poisonings are listed as X44 other/unknown. My guess is that this means an overdose on street drugs.
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