Does CMS MMIS certification support non-traditional claims processing models, such as using an Administrative Services Organization or "claims processing as a service" approach?

Yes. The certification checklist defines a set of business and technical requirements that a particular Medicaid function must meet. The checklists and criteria are agnostic as to whether the requirements are met by a system built within the Medicaid Agency, a Software-as-a-Service model, a cloud-hosted model, or an ASO model.