I like to see it this way - we are not just asking him to move into our space. We are moving our space away from him and making him new space to be in, inviting him in it.
Teaching the horse to 'park up' for mounting using the method described above (i.e. Stick over back; lovin' on the near side, pressure on the far side, release when get what you want) is a starting point.
Please be careful though when doing this on the ground that you can disengage the HQ and get them to yeild away from you first. If a horse learns to bring his butt/side in to you before he knows this then things can get dangerous. Even a horse that wants to please you could accidentally crush you into an obstacle just through misunderstanding. Horses with a lot of 'try' will often attempt every trick in their repetoire to try and please you...or at least to get the pressure off them...so a good HQ yeild first is really important.