Sorry for necroing this thread but since I've recently encountered this issue and was looking for potential reasons, I thought I'd pitch in my info for reference too It seems what you have described is intended behaviour in that MSM won't update links in livecopies that refer to different chapters (...

Hi Manish Do you intend the responsive testing of the components you build in authoring context, or as an end consumer of the web page. The only use case I can think off at the top of my head for the former, would be if you were testing how the AEM authoring environment appears in different devices ...