It would be quite a big effort to make it work.
How does SAP determine the storage type?
Basically it starts with the MM movement type. Then the WM reference movement is found and finally the WM movement type. And in the WM movement type customizing you actually define the information about storage type and storage bin (fix or dynamic) to be used.
So you would need to find a different WM movement type per plant/storage location, which means doubling the WM movement types which refer to 902, so that you finally find a 903 instead of a 902 if the stock belongs to the plant B
I had managed a single warehouse for 2 plants, but we never separated the interim storage types, which are no physical storage types. And we also stored the goods together, the plant information is taking care that you get individual quants. Physially is the material anyway the same, and it does not matter if you take it from the left or from the right pallet.
Separating the goods within one warehouse into 2 separate areas based on their ownership would not lead to an optimized usage of warehouse space.