Hi again Holdingon, Its a commonly shared feeling and there is nothing wrong with it!! ... and don't preceive it a "a lack of true patience" because its not! It a sense of renewed hope. What is important tho is not to act impulsively on it as you relate to H.
While they seem like "leaps", they are more like great babysteps that are resulting from the "butterfly" effect of your actions. I'm not trying to burst your bubble here, but only trying to quell your urge to play leapfrog with H. I hope you don't take offense.
The fact that they feel so "NORMAL" is great... and is a wonderful start in the shift of his attitude around you based on your changes. Now the course is to keep the contact feeling good between you so that they will begin to feel to H that they outnumber the bad interactions he remembers.