I'm sorry this happened to you. It's very frightening. I learned the hard way that one of our children this year "stuffs" as well. His mom neglected to tell me that he can only have one or two pieces at a time.His twin sister does the same, but she hasn't tried it with us. So now we have to watch those two like a hawk. Besides them, we have one will multiple allergies who likes to snatch food from other children, and then the normal two year olds who are up and down from the snack table because they have the attention span of a flea. (I say this with great love and a sense of humor...)
I respect the viewpoints of many of the posters on this thread, but I think it is safe to say that they have no idea what it is like to be in charge of 12 or 21 or however many children, all of the same age, but with varying levels of ability.
To be frank, if you feel this way about your parents as well then you should be more specific on your sign up sheets and newsletter. List what will be allowed and not allowed, don't leave it up to them to interpret your vague requests. You never know what others think of low key, salty, etc and it won't always be what you mean by it.
When my kids were in pre-K the sign up sheet was hung on the bulletin board and if there was something that wasn't supposed to be brought in, it said on the sheet "please do not send in x,y,z we don't need it for this party, in a nice way of course (maybe because they had issues like yours in the past). Also, every item requested was listed like 12 apples, chocolate cookies, little water bottles, etc. As far as I know parents pretty much stuck to what was asked for, and didn't bring in extra or different things.
ETA, this may not work this year but its something you could do in the future, you could ask for "room moms" and for those who sign up, assign a party to them and ask them to bring in specific items for that party. Hopefully you would have enough moms sign up to cover all the different parties. That way other parents wouldn't be inclined to just bring something in if there was no sign up sheet requesting stuff. We did this in my ds's K and 1st grade class and it worked well, but we had a lot of moms sign up so it was possible.