I would suggest adding the character traits to the equipment screen. I love the relatively large roster of Soldiers you can manage without any long war mod, but I find my self flipping back and forth to the training screen to work through each character build. It leads me to build many of the same traited characters so I can manage such a larger roster. I might be missing out on a key feature of building a character classes out in different ways.
But, adding the character traits to the equipment screen, like the combat screen, help outfits the characters for faster and into more core game tactical combat.