Saving bandwidtsh with Responsive Designs?

I have checked out a lot of good resources and examples of responsive designs.
But I felt, they all are tweaking the layout according to the screen sizes of client browsers.

Try opening a responsive web page in a wide screen and keep on changing the browser widths.
I feel, how they adjust to the screen size won’t probably save the bandwidth on a mobile device.

Rather, we might have detected a mobile device and really send a small-screen based template with minimal contents, and low quality images, etc.

What would you say?

[FONT=Verdana]The W3C Mobile Web Best Practices recommends a total page size - including images - not exceeding 20kb. Page size is one of the things their [URL=“http://validator.w3.org/mobile/”]MobileOK Checker will assess.

They do also recommend allowing users with larger or more capable devices to choose an alternative version, but the default version should be low-bandwidth.[/FONT]