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.