The original idea comes from T151197 and @Jdlrobson
but periodically I'm asked to report how mobile performance compares to desktop (for example when we were working on lazy loading images). I think making easier to fire off comparison tests for that purpose would be great - some kind of compare pages script that given multiple URLs reports on differences between them e.g. bytes changed/first paint.
We have good way of comparing run in WebPageTest today, but we should make it more accessible and maybe the result page could be more compelling,