Is there any plan to support this with the operator or in a self-hosted type of way?

Would you mind elaborating a little bit. Do you mean supporting self-hosted runners for agents or adding OIDC integration to the pulumi operator?

Adding OIDC to the operator. Or could we get Pulumi Deployments from self-hosting the Pulumi Service.

We do plan to eventually add support for deployments for the self-hosted pulumi service, but that work isn't currently scheduled.