Well well well! I finally decide to make an account to post a theory, and there's already a forum thread discussing the same kind of ideas
My categorization includes both internal/external and push/pull relationships; not sure if that makes it more valid or less valid.
Mind, all the dawnshard names are applied and come up with after grouping by internal/external push/pull. I'm not very confident on which shard would be push and which shard would be pull; I do have them sorted in a way that makes sense to me here, but they could fairly easily be swapped.
Also - I retroactively realized that internal/external are much more like abstract and concrete - the shards I categorized as internal represent an abstract idea, and the shards that I have as external represent some concretion of that idea.
Without further ado, here they are (abstract on top, pull on the left):
Odium <-> Wisdom
Ambition <-> Invention
Dawnshard: "Experience"? "Understand"?
Mercy? <-> Honor
Unknown <-> Valor
Dawnshard: "Moralize"? Similar to "Virtue" as above
Autonomy <-> Cultivation
Whimsy? <-> Endowment
Dawnshard: Change
Preservation <-> Ruin
Devotion <-> Dominion
Dawnshard: "Control"?
Things I really like there:
Odium <-> Wisdom mirrors Taravangian
Cultivation/Endowment being abstraction/concretion or internal/external
Honor/Valor in the same relationship
More generally, the Intent of all shards that are in abstract-concrete happens to really line up well - if you wanted to hold two shards without changing your Intent too much, those vertical connections are pretty good bets. Also, while the four dawnshards I propose aren't integral to the cosmere like Survive and Unify, they are reasonable commands for existence and deity that creates life - I especially like "Experience/Understand", because it reminds me of the One.
Things I dislike:
Ruin and Dominion don't line up Intent-wise despite their relationship on the chart
Whimsy and Mercy's placements are weird, there might be some swapping worth doing with those, autonomy, and the unknown shard
Whimsy doesn't fit Change that much (although I think Autonomy does, as it essentially means allowing things to change on their own)
Thoughts on this?