Big data centers are also most likely to be executing customer input. They almost certainly have all side-channel mitigations applies.
And I'm assuming my 5$/mo DO droplet isn't on it's own dedicated die....
To be fair though, those chips are a comparatively small part of the datacenter market. Most of them are sitting in IT closets, or per the example above are running HPC workloads on bare metal. Cloud services are the sexy poster child for the segment, but not that large in total.