Also pretty sure customers using hosted Redis / Memcached offerings like Google Cloud Memorystore or AWS Elasticache etc. get sub-1ms times for service-to-VM responses. Those aren’t over HTTP of course… so perhaps they don’t count as “web services”?
I think you are talking about latency over the equipment in the same datacenter/intranet here which, yes, I do not count as web services but are more akin to 'sitting at the terminal'. If I could access Google Cloud Bigtable over the web from my home Mac at <5ms, that would of course be the biggest thing since the invention of the web :)