Not quite sure what you want explaining, Danny. DWP seem to be saying that it would be too costly/time -consuming to stop payments for those in care-homes as it would mean someone would have to go through 1000s of records to establish this. If those in care do receive this, I suppose they could organise for it to paid to the home to help with the bills, but this wouldn't be easy to do.
We receive it as my mother lives with us, and it certainly helps with our huge heating bills.