So I know that Lord of Vermilion didn't actually make a US release, but this new Gold Saucer game mode is obviously in the spirit of it. The real Lord of Vermilion though consisted of collectible cards instead of minions, and provided a way to move them on a scanner so that you could move your team individually. I might just hook up my scanner and scan in my collection from my trip to Japan since the game would give you 2 cards (I believe) whenever you'd actually play in addition to a starter pack which was purchased separately.

I'll link some gameplay footage of Lord of Vermilion so you can get the gist:
Lord of Vermilion: First Try