The railway has always referred to a single railcar or light engine as a train so this isn't a recent thing. For example block instruments have a setting called "Train on line" and I would imagine station announcements and departure boards have always referred to "The next train to" even if it was a steam railmotor.
Station announcements and departure boards are also a relatively recent innovation in most cases for most stations. Announcements were nothing more than a shout from a worker on the platform or the station master on smaller stations and departure boards were literally a wooden board attached to a post or wall at the end of the platform on some stations, but not many. Manual systems in most cases, remember most of the technology in use today just did not exist prior to the 1960s or later.
While it is true that block instruments used the simple wording of "up train on line" or "down train on line"and bell signals referred to "trains", this was clarified in the codes which separated light engines and railmotors etc from the various passenger and goods trains. In this respect different companies used different codes and different terminology.
The word train evolved from an old latin word which meant to draw or pull.
To bring it all into perspective, try reading this:
It all sounds very complicated, so ponder this.
The instrument shows Line Blocked when the line is not blocked, but shows Train on Line when the line is blocked. If the Line is clear, it shows Line Blocked but if it shows Line Clear, there is a train coming. If it says Line Closed, the line isn't closed, because if it was closed the block instrument would be taken away. It will show Train on Line if the train is on the line, but will also show Train on Line if the train is off the line. So, if the block instrument shows Normal, things probably are very normal indeed.