Im very sentimental when it comes to horses, whether mine or others. On my lost account i had The Afterlife, a breeding farm dedicated to memorializing horses and family members of mine and my friends. Im so sad i lost it...
That being said:

IF I BUY A HORSE OF YOURS AND YOU WANT IT BACK, EVEN YEARS LATER, I WILL GIVE IT BACK! (assuming its still alive and I still have them. I try not to sell off horses I haven't bred)

IF I BUY A HORSE OF YOURS AND YOUD RATHER I NOT CHANGE THE NAME, TELL ME. Names have meanings to me, and to a lot of people. I understand that once i sell a horse i cant control its name, but i offer this for anyone who wants to see their name live on without an Affix