She already knows just about everything there is to know about trade and logistics. The only way she probably could get better if she gets a stint as a quartermaster of an empire army...
She's got the basic trade skill, but not the advanced, so there's definitely something to learn. And I doubt she's ever put it into practice, at least the whole thing. Mathilde told her what to do, get cargo here, buy Ithilmar, etc. Doing it self directed is a step further.
But it also matters in how it will happen. Eike's Initial Training was Wilhelmine's style, which relies on logistics of mass goods and relationships to work. Mathilde's style is about information and psychology. What is wanted, what can I make wanted, how will others react to my actions. I don't think Eike has internalized that approach.
And given it's a one off trip, Wilhelmine's approach would be difficult. Not impossible, and I'd be quite impressed if she manages it, but hard. On the other hand, finding something the elves want, and then something the humans want is not so hard. It's a question of how successful she is.
So in my mind, she'd start with some market research to figure out what to take there, and what to take back. That's already a good Grey exercise. Information gathering, from people who may not be super eager to share how they make money.
Then, in Lothern it's about finding opportunities. And finding those would be a good angle for Eike to learn about the culture and state of things. She'd be more limited than Mathilde, but thinking the status quo through is still a good exercise.
