"Cloud" today is typically used with a more specific meaning, to refer to services such as IaaS or PaaS, which didn't exist in the 90s.
I don't remember encountering the word "cloud" in the 90s used in the way you describe. The cloud could be a symbol for a telephone network, a packet-switched network (including the internet), a company WAN, etc. Typically you'd refer to whatever the cloud symbol was supposed to represent, it wouldn't be called "the cloud" unless I suppose you were discussing the diagram itself.