Thank you so much, this is exactly what I've been thinking ever since reading about Dawnshards!
I wonder if the four Commands aren't the only things determining Shardic Intent. My personal theorizing has involved grouping each Shard into two categories: the Shard's Command and the Shard's Intent group.
As it stands now, I have the four Commands as Change, Remain/Connect, Feel, and Think/Reason, with the four Intent groupings as Order, Chaos, Control, and Freedom. An example of how this could categorize Shards: Ruin has the Command to Change with the Intent of Chaos, Preservation has the Command to Remain/Connect with the intent of Order. They're opposites in the sense that both their Command and Intent are opposites.
Some other groupings that line up nicely include Honor as Think/Reason with an Intent of Order, Odium as Feel with an Intent of Chaos, and Cultivation as Change with an Intent of Order.
These are just my personal speculations, and there are definitely some holes with this theory, but that's where I'm at right now.
Also, this is my first post LOL.