That doesn't necessarily mean the H2 is less accurate to the original recording, or less technically capable, or of inferior sound quality than the PRII, though.
I'm not stating that it's one way or the other; I'm merely pointing out that your personal preferences for one piece of gear over another,
could indicate technical shortcomings in the one subjectively considered inferior, but could just as easily indicate little more than a personal preference to a 'Technicolor' presentation of music.
There is a reason that there are so many hundreds of V-shaped IEMs, CIEMs, headphones, and even loudspeakers, in the world. Many people love that kind of presentation. Similarly, many hundreds of valve amp designs exist, with numerous die-hard fans, who love a certain 'bloom' to the presentation of their music.
Within reason, I fall into the camp that favours a more neutral presentation with as little harmonic distortion and colouration as possible - in other words, striving to be as true to the original performance as possible, but some label that kind of presentation as lacking warmth or 'lacking emotion', but audiophiles are notorious for throwing around such phrases, so maybe a pinch of salt is in order, whenever they are used!
Is a subjective preference for a certain flavour of sound, which a piece of equipment may or may not favour, sufficient basis for outright stating that one piece of equipment blows another out of the water?
I'm not so sure