I'm not necessarily sure how what you said relates the part of my post that you specifically quotes, but I think it's key to consciously remember that responsibility for actions is only half the picture, when you consider crimes are made up of both actus reus and mens rea elements. If you're just looking at the act itself, then how someone has arrived at that act is definitely irrelevant. But when criminal responsibility is predicated on the formation of a particular state of mind, then the manner in which that state of mind is formed does seem quite important. If we take the example of someone whose intoxication is not self-induced, it would seem pretty uncontroversial that if such a person commits an act which would otherwise be a crime, but fails to form the requisite state of mind because of their intoxication, they should not be convicted of that crime. Consider then, the position of someone whose intoxication is self-induced.
The difference between those two scenarios is the choice to become drunk. In both cases the requisite state of mind has not been formed as a product of intoxication; it's just that the inebriation was voluntary in only one case. In most jurisdictions, drunkenness or public drunkenness is no longer a crime, and where it is, the penalty is generally quite minor. It would seem strange for the operative factor causing one person to be guilty but another person to be not guilty, to be something which is either not illegal, or only subject to a small penalty. In other words, if you were to punish the self-induced drunk but not the involuntary drunk, it would be the choice to become drunk that would be punished, not anything subsequent to that choice.
To look at it another way, it's clear that if someone is completely sober, but fails to form the requisite state of mind necessary to trigger criminal responsibility, then they are not guilty. It's hard to see, then, why it should be the case that if someone is drunk, criminal responsibility should be triggered even though they have failed to form the requisite the state of mind. True it might be that, had the person not been drunk, they may in the situation have either formed the state of mind or not committed the act, but that hypothetical doesn't change the reality of the lack of formation of the requisite state of mind.