Now, I'm sure this is a difficult thing to measure, and there's lots of room for legitimate argument. Nonetheless Wikipedia tells me that 248 Londoners "sleep rough each night", where 3-5000 of San Francisco's homeless population "refuse shelter". That's a full order of magnitude difference even ignoring the fact that London's population is several times that of SF.
And again, it gets to the safety net argument. It's not that the english are accepting shelter where the americans are not, it's that the english don't need to "accept" the homeless shelters in the first place because they are sleeping at home.