Thus a battle with 3-1 odds could not be important for the attacker no matter how many boxes they ticked, but it could be for the defenders.
Comparative strength of the sides: Close battles are important for both sides. Slightly mismatched battles are more important for the people on the short end of the stick. Massively lopsided battle are not "important" for anyone.
I would disagree with this. What if you had obliterated an force enemy force in the field, then followed them back for a final strike on their capital? The defenders could be massively outnumbered, but it's still an "important" battle for both sides. The defenders are defending their capital, while the attackers are assaulting their enemy's capital (perhaps for the first time ever, perhaps for the
last - either way, still important).
