I suppose if by "training" you mean it's something the horse has learned from repeated behaviour, then sure, call it training. My gelding would follow me until I turned around, looked at him a certain way, & said, "Stay there, Simes". I could then walk into the tackroom or walk away from the cross ties (he was never tied in, he just stood in them) or whatever, & I'd know that I could come back & he'd still be there. If I left him standing in grass, maybe he'd lean down to have a nibble, but he wouldn't wander off. He didn't do it because I'd specifically spent time"training" him to do it, he did it because I was "mom" or "alpha mare" or whatever you want to call it, & he wanted to please me. He wouldn't do this for me until we'd formed a bond, and he'd never do it for other people, because he did not have that level of respect for what they wanted. I never once hit him or threatened him with a whip in the 7 years that I had him. If you think you need a whip or some other "training aid" to get a point across to a horse, then you are very mistaken.
And you asked how far love and respect get you in a show arena - I'll tell you, they get you VERY far. Look at a pair where the horse & rider do not have any sort of connection or respect for one another, & then look at another pair that are obviously a TEAM. There's a difference. I'm not saying respect & love always bring in the ribbons, but I am saying they'll make a world of a difference in the way your horse will act for you.