I believe they are referring to litter bins not household dustbins.
However, there is very little distinction between the two these days as many people fill their nearest litter bin with carrier bags full of household waste on a daily basis. Also virtually every minimarket uses the nearest litter bin to get rid of any out of date stock on a daily basis. Some days the bins are so full the bag rips trying to get it out.
Then there are the twats who think it's a good idea to put broken, open, umbrellas in a litter bin, ripping the bag and making sure no one else can get anything in an otherwise empty bin.
You also have the tossers who, upon finding the dog waste bin is full, either keep using the bin until its a pyramid of shit, or just drop the bags on the floor, this despite the fact there is a perfectly usable bin not 30 feet away.
Maybe people should stop treating the World as their own private dump. Litter bins are for litter. Bits of paper, sweet wrappers, empty bottles crisp packets etc. They are not designed to cater for other waste and neither is the councils emptying policy.