No, it does not. The 'intention' rule, is just clarifying that the intention does not matter. The other rules are clarifying what counts as pen, and what does not.
Essentially, if your hand is behind the body, intention or not, it is not a penalty. On the other hand, if it is above the shoulder, intention or not, it is a penalty. I do not know how it can be clearer than that.
Here there are the IFAB rules (from which EPL derived the rules), specifying what is NOT a penalty:
They could have easily added another rule, that says that 'if the referee judges that the player's intention was not to touch the ball', and voila, intention would have mattered. But they deliberately wanted to not consider intention anymore (probably because it is very subjective, so they wanted handballs to be totally objective decisions).