Back in the days before phone (some of us go back to the days before SSB) there was only CW. And sending was done with astraight key (try that for an hour) and, if you were really modern, you used a bug. Unlike modern electronic keyers which send perfectly spaced code, straight keys and bugs had personality.
If you were a regular on the air, you could be known by your sending (good or bad) and others would know it was you before you signed your callsign.
Back in those days all amateur radio traffic was sent by Morse Code. There were no phone nets and packet systems were a long way off. But every night, the airways were filled with traffic nets sending messages as a public service via ham radio. Of course, these days those nets have largely been replaced by phone and digital communications but the idea of using amateur radio to pass traffic still exists and, yes, some traffic is still sent my CW.
If you’re interested in joining a net, in any mode, here’s a primer on traffic handling (thanks to the ARRL) you might find interesting. BTW learning how to handle formal traffic is a great skill for ARES participants.