Partially. The repeated manifestations of the same being are not the result of the being, but what the avatar's back story is, what they look like, and what choices they make are all the result of the higher being. A being will always be born in the city of keys, grow up, and for various reasons decide to go out and travel The House. They will collect the same starting crew, travel around for a while, and eventually get attacked by memory thieves. They will be knocked out, and try to remember who they are. Everything else that happens to the being is essentially in control of the player, whether or not The Kinetopede Captain learns of this or not. There are being who have lived through previous cycles, and beings who can determine the past and future from reading previous cycles. The Kinetopede Captain is not technically one of these beings (although they can be depending on certain routes), but The Player who controls them will have them make actions to get the result they want.
Essentially, its the higher being that makes it so that The Player acts a certain way. The Kinetopede Captain may not know that he is going to run into mercenaries who will try and take their guard captain back to their father, but they will most certainly avoid the rooms where they show up in, or they will avoid the encounter long enough that they have the fire power to nuke them out of existence. They may not know that they need to go to the unmarked corner of the map to find a giant crow gollem, offer it the corpse of a God and dine with it, then seduce it and get layed in order to obtain the fragment of a stoned undying trickster, but he most certainly will do that anyway.
House of Many Doors is a weird verse lol