I do agree that horses are their own species and they do not act on their feelings, they act on their instincts.
I do know that people and horses are capable of having a special bond like that. (well, maybe not that romantic, but still).
That special bond doesn't come from how much you love them or whatever. It comes from working with the horse, respecting it, and teach it. Learning with the horse. It may not be a 'me horse loves me' type of bond, but it is a 'my horse trusts me' kind of bond.
For example, I have a appaloosa that when I got him, he was pretty much as nuts as he could be. He was worried, anxious, and just spooky. After working with him, he calmed down and looked to me to show him what to do when he was confused instead of just throwing me. So that 'bond' is real, just not as romantic as people think it is, lol