What should a CloudOps team look like for a technology company serving thousands of enterprise customers?

I would simply say diverse, always best to have varied thoughts and experiences!

I will suggest to break down the cloud ops team across various sub teams with direct responsibilities including service management, service operations, new service onboarding, DevOps and tooling, cloud Infra management, platform services including monitoring and triaging (l1/l2). The CTO can decide on how to operationalize the same. However, many of the service management functions will be similar to the existing CTO functions and for cost efficiency, similar skill set resources could be utilized. Also, basis the implementation of the cloud provider, there could be additional process activities that could be added across the broader set of categories listed aboveb

Your CloudOps team should be responsible for running the virtual datacenter on the cloud. This includes the infrastructure (Example – the Firewalls, VMs and/or containers, and operating systems) as well as the applications.Lots of effort and energy goes into managing the cloud, patchworking, working on certifications, and partnering with DevOps to continuously move tasks into production. In addition, the CloudOps team should also have a 24/7 response team (NOC) which handles emergency procedures based on a runbook written by the operations team.