I agree that some horses are just more stand offish and others love that interaction.
Hubby's horse is a cuddle bug...he will give other horses the evil eye so he can have hugs and kisses to himself
he is hilarious. He has a serious work ethic though. Works like a little trooper and smart as a whip. Loves to smell my hair - if he had fingers he'd be running his fingers in my hair (come to think of it if he was human he'd make a good boyfriend!)
My first horse Red didn't mind hugs and kisses but he didn't seek them out...he thought everyone should adore him just because!
Biscuit was extremely stand offish when I got him and in fact, would freeze in place when I petted/hugged or touched him. He had been treated harshly and it showed. It took 5 months for him to come to me in the pasture and that was from giving treats to make a bond with him. He still isn't the love bug Sarge is but for the most part he doesn't flinch when I touch him anymore.
As long as he is not trying to be disrespectful, respect his differences. Not all people are "people friendly" and the same with horses. This horse is all business - enjoy him and learn from his highly skilled training and then look for a Sarge - highly trained and your 4 legged sweetheart!