I don't mind Finest Matterweave consumables even though they're just there to inflate playtime when the piece of gear could just as easily drop an Enhancement Core, but whatever...
This post is to ask that Finest Matterweaves receive a PvP option to go alongside the PvE option. Something simple like making it a guaranteed drop after a match or at least a high chance to drop on match completion.
Or better yet, make it a guaranteed drop on a win and a chance to drop on a loss.