That’s pretty much the exact way it plays out in Doctor Strange, and I think it’s safe to say that fans are patiently waiting for Marvel to announce the Cloak of Levitation’s spin off.
It wasn’t deep in the script, but they decided to make its relationship with Strange similar to a horse and it’s rider.
When they first meet, the two don’t see eye to eye and the horse takes over the rider.
Stephane Ceretti goes on to talk about how they approached the Cloak, revealing they really only gave it a personality in the pre-viz stage of production.