It helps avoid Divided Loyalties. It's not such a problem for Wilhelmina because she's already cloesly aligned with the Grey Order. If anything, it allows further uniting the interests of two major factions in the EIC.Grey College Apprentice Training: Endorsed by the EIC!
100% of Directors polled wouldn't send their heirs anywhere else.
I can imagine Wilhelminas scorn at the prospect of paying that much for a custom-built dwelling when the Colleges have already got it set up.
But everyone else would rightly assume that someone isolated and trained for years in the Colleges has at least split loyalties.