It would kind-of-make sense but only for static pages. Pages are now an interactive applications so comparing them to size of visual representation of their initial state is not a best metric.
News websites in particular are guilty of downloading Megabytes upon Megabytes of who knows what to display the five paragraphs of text and the image that I actually want to see.
Same experience when I was working for a news site. An increasing amount of users get to articles directly from e.G. facebook and close the site after reading.
They require endless scrolling, there are often pointless template images on them and the fonts are too big, and their maintainers often want you to try out or download something 'for free' - and three days later you find out it's not free at all and they want $5/mo.