I’m going to assume you mean on a unknown but large number of nodes.
Are you saying you’d like to run your cluster as a pinning service?
What computers do you mean when you say “on the computers”? You’ll obviously need to run the cluster service on your cluster but you might on your nodes depending on exactly what you’ll be doing but for a simple case, no you don’t. You’d need it if you wanted to run a collaborative cluster. (I think that’s what they call them). Basically a mirror.
There isn’t really any trust involved. Each node will only host what you tell it to host. You may be referring to a private cluster where only members of the private cluster can communicate with each other.