Currently, the Crew Skill Trainers, other than Crafting Skill trainers, have nothing to do but stand around and hope you decide to change your crew skills, after you've picked them up for the first time. Furthermore, they're duplicated over a good many locations. This seems rather... inefficient.
My suggestion is that they could offer advanced missions for sale, much like the ones you can pick up through Mission Discovery. As another player mentioned, this could be a credit sink and help to stabilize the in-game economy.
Another option, not necessarily opposed to the first, is that they could offer advanced mats (purples, for example) for sale. Credit sink, again.
Does anyone have any other ideas for these trainers, and/or comments about the above suggestions?