House of Medici does seem to do that but so does Stark and Emperor. House of Medici to me feels like something one should run if you’re already rich and now you’re more focused on networking/high level business deals. It has a pretty broad, very long-term scope that may be better suited later on once you’ve got everything settled. Best to start and manage your company first (Stark + Emperor) before you start scaling it up an incredible amount (Stark + HoM).
I’ve experienced manifestations of rich people/mentors through R.I.C.H, Inner Circle and wealth modules without the use of HoM (ZP Terminus Squared). If your main purpose for adding HoM is the manifestation of rich people, then your other cores can handle it properly. If not, if you really need those people around then you could just run Inner Circle and replace one of your 3 slots for a few months and switch back.
I’d also remove Fortuna’s Favorite and replace it with a wealth manifestation module instead (Sultan, Positive Being Attractor, etc).