I havent read all the replies, just want to put in my .02.
Both of my children were born in colder months. I went back to work both times in the dead of winter (Didnt leave the house much with either of them before 6 weeks of age because the weather was so cold and nasty) I had to cart them to daycare in the wee hours of the morning 5 days a week. Sometimes I had to pick them up and then run to the grocery store on the way home, by myself. The bucket was mere convenience AND it helped keep them all nice and snuggly warm while I had to take them in and out of the car, in and out of the store, and in and out of the house.
I think the association of kids who are left in buckets seats/jumpers (I used those too)/walkers with bottles propped in their mouths has NOTHING to do with the aparatas, and everything to do with the parent utilizing the aparatus in a way that it was NOT intended for. When you buy these things, their are stickers right on the side of them that say to NOT put the seat on the top part of the shopping cart, DONT leave a child sleeping in it, and EVERYONE knows not to prop a bottle in a babys mouth.
And FTR, I cuddled both my kids ridiculously when they were small enough for bucket seats, and still do.