System-of-Systems design has focused on integrated service offerings. The underlying expectation is that services have a reliance on each other to achieve a greater level of service and outcomes. Within this context, Cloud Computing provides a service consideration that extends system-of-systems design and thinking. Integration with cross provider services, operational and architectural design, systems operations, trust, and cost analysis must all be considered when addressing complex, cloud-based application design. This paper opens a discussion on these key attributes and provides a framework for future research whilst introducing key operational requirements to enable successful implementation of cross hyperscaler system-of-systems architectural models.