Sci-Fi Horses?

For context:

My world is a Sci-Fi world based heavily on the cyberpunk subgenre. At one point in the story, one of the characters (who has a really long name) is shortening his name to just his initials. One of the shortened versions of his name he rejects because it makes it sound like a name that someone who rides horses would use.

The question is how would the concept of horses tie into the cyberpunk subgenre?