Someone correct me if I'm wrong, but here's how I understand the current version to work -
As long as your "main base" has a logistics module it will be able to pull from any "warehouse" storage on the planet. You'll want to make sure you have inflatable storage modules attached to the logistics module for whatever resources are outside the local logistics range. So, for instance, if your exotics miner is on the other side of the planet you'll want to have exotics storage connected directly to the logistics module and you're set.
*edit* - Also the logistics module has to be piloted I believe.