You have a direct hot, which allows for power, then you have a chosen hot, meaning that you need the key to allow current.  That chosen power is connected at your starter selenoid.  (however it is spelled_
I do believe that you either installed the starter incorrectly with lack of or too many shims, OR>>>  You were given a defective starter.
In my opinion...  If I need shims for the starter, I don't want it.  I want a direct bolt, no shims and will pay the big price for a good factory like starter.
But I do appreciate having a starter rebuilt and beefed a little.  Find a rebuild shop if you make it to that point.