Should deployment diagram contain such details as VPCs, firewalls, AWS zones and accounts boundaries, servers' count/CPU/cores, SaaS service tier/resources, names of the servers?
I'm modeling system in the cloud, so Deployment Diagram provides a small value over Component Diagram without at least some of those details. Google says Deployment Diagram can contain hardware detail. In the same time all examples (like this) haven't got those information.
In general, I would say yes, if it is relevant for the future use of this diagram (e.g. colleagues should be aware of this info because a hardware migration might be due in the near future).
From the UML perspective, in my view, there is no other diagram type which would be a better fit for holding that info. Btw, the diagram you've linked uses the C4 deployment diagram.