There might be some confusion here, and I may have used the wrong phrase when I said Exploratory Missions. These are the missions that you can embark upon as 8-man groups to explore islands, kill monsters, and find loot from, not the time-based airship missions bringing back a limited number of mats. The gear dropped from the kills can then be traded in for points that can be spent on Red Scrip mats.
The only way a Crafter could monopolize this is if their entire FC was willing to spend any points they get from gear on Red Scrip materials for that Crafter. Even then, I feel a number of FCs wouldn't have a problem doing this as everyone could help their Crafters and be helped in turn.