I thought about including the "lite" websites, but decided against it since those are not the primary news reading experiences that they're pushing. What I might do is add a link to any news website that has a lite/text-only website.
I'll go ahead and say that yes, this is somewhat self-serving, but I'm hoping this puts pressure on some news websites to get their act together and make their primary news websites faster for everybody.
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Edit: I've pushed out the updates
1. Individual speed reports now include a link to the text-only sites.
2. Methodology makes a mention of it at https://legiblenews.com/speed/methodology (I still need to refine it; wrote and published in haste)