I like it, you took that re-forging theme and ran with it! If anything your ideals are a bit boring but thats fine.
You have an interesting idea, but I personally don't love your ideals as they seem pretty much just based on Progression rather than Progression and Transportation. perhaps make them focus on healing mental or spiritual wounds instead.
How does your order feel about a certain black smoke emitting sword?
I like it, I realy like how you've been adding history. Psychopomp, does mean a person who guides the dead to the afterlife, which doesn't really have anything to do with your order's ideals.
Ohhhhhhhh I like it. Do they have semi transparent swords? (like Ice?)