I don't do WP so cannot always appreciate the slow gait as desireable, but the horse is definitely a quality animal and you two look nice together. You sit nicely and are easy to carry. I am totally not one for bobbing them in the mouth when their head is in the wrong place. Wont' a jiggle of the rein, like squeezing it as if you were wringing out a sponge get him to pay attention?
I just have seen this action end up building a horse that carries his neck really stiff and braced; locked at the poll, rather than flexible.
Again, I am not a WP rider, so my opinion is that of an outsider.