Dear Madhav,

I recall that Arvind Sharma once wrote a book entitled "The Hindu Gita"

that explored the various commentarial traditions.

https://www.amazon.com/Hindu-Gita-Classical-Interpretations-Bhagavadgita/dp/0812690133

However, I haven't looked at it for at least 20 years and I do not recall it well enough to say whether it may clarify the question you are raising. Its

primary concern is to introduce the philosophical standpoint of the different commentators.

Another work that juxtaposes aspects of the content of the Sankara and Ramanuja commentaries Is Chakravarthi Ram-Prasad's

https://www.amazon.com/Divine-Self-Human-V-PUBLISHERS/dp/9386606364/ref=dp_ob_title_bk

But I am not at all sure that either of these titles addresses directly the issue of varying padacchedas.

It is possible that Van Buitenen's book on the Ramanuja commentary on the Gita may be worth consulting as well.

best,

Matthew