I have also noticed the following
i have set up the first store
Now the second store is showing the product count of the first store in the categories section of the first page at this link I have entered no products in this second store at this link
also in the store page i am seeing the categories and tags of the first store here also
when i click on them no products are showing as I have entered none in the second store
so what is happening is that each subsequent subsite is showing categories though none have been entered.
I have granted access