No, Hosting has a technical definition. When you rent a server or in this case VPS, the company is hosting you. You can maintain or administer the services but you are never hosting yourself on someone else’s computer.

Is it self hosting? No.

Does it matter? Idk.

By definition, the cloud provider is hosting you. It’s not about being good or bad it just is. If the mod deemed your question to be irrelevant to the community then idk maybe it does matter in this context.