Eventually dealing with the counterattacking intent is very important.
Quite! I take it that your meaning is (may be) that uke's original intent to attack does not cease until such time as he is rendered unmoving? Submission, pin & lock, unconscious or just broken?
I would agree that, once students get to a certain point, then free-flow practice should involve the consistently attacking uke, who does not stop at the first foiling off-balance kuzushi touch, but reorients and keeps on coming, trying to keep things going until tori/nage deals with it to onclusion.
If that's not what you meant, then I'm lost.