This is an excellent post that makes you think. At least it has made me think, so thanks for the effort.
However, there are nuances here. Your list covers two papers (important as they are) in India but not the universe
If I increase your sample size to the top five newspapers in India using this source:
https://en.wikipedia.org/wiki/List_of_newspapers_in_India_by_circulation
A quick check shows that of the top 5 newspapers in India only one (TOI) falls in the category you’ve described.
4/5 of the top newspapers in India aren’t focused on the same degree of cricket coverage, not that obsessed with Pakistan cricket.
The same goes for influential (but smaller) Indian newspapers like the Hindu and the Indian Express.
In no particular order here are the websites:
https://www.amarujala.com/
https://www.bhaskar.com/
https://www.manoramaonline.com/
https://www.livehindustan.com/
And here are some of the more reputable English language newspapers
https://www.thehindu.com/
https://indianexpress.com/
However, I repeat this again, your post was outstanding in its research and your point is well taken in the context of the narrower sample size you gave. And TOI is an influential newspaper, the largest English language periodical in India.