Specific height never mattered to me. If I saw a horse and it looked about the height I would be comfortable on, I'd buy it.
Horses come in 3 different confirmed heights for me:
That's about as accurate as you're going to get. The numbers (14hh, 15hh, 16hh) are based on what the horse averages out. The specific inches are just details, in my opinion. But of course, I don't show in height classes. If a horse's wither came up to my collarbone or under, it was short. From collarbone to forehead level was medium. Above my head, tall.
Of course, I did do some advertising and sales at a barn this past year where the height had to be put in the ad. I would use phrases like "About 15.2 hands" or "approximately 13.1 hands". We would measure the horse, use what we measured as a guideline in the ads, and have our stick ready for the buyers who came in to look at the horse. If they wanted to measure the horse themselves, we would allow it.
But heigts and opinions on heights change depending on whether the rain falls over the plains in Spain, so I always took a horse's "official" height with a grain of salt.
And those who were seen dancing were thought to be insane by those who could not hear the music