I think the answer should be yes, but it rarely works that way for me, I am not sure why.
Say you overdose a high by 1U. If your ICR is 1:12, should you eat 12 carbs to make that up?
I think it should work that way, because the process is the same: you eat carbs after using insulin (much later). For me, I always pre-bolus, so it is even more the same, since I eat my carbs 45 minutes (or more) after injecting.
But it rarely works that way. For instance, today I overdosed a 300 high on purpose to come down faster. Right now my CF for this type of high is about 1:20. I dosed altogether 13 (10 times 20, plus 3 units to come down fast, in three injections, while I was going up very fast: as I went up I injected more, all with a pen). My ICR is 1:12. I expected that I would need to eat about 36 carbs, less the amount of suspend time (I suspended 2 times 30 minutes on the way down, which took out 0.9U). So, in the end, I only had an extra 2.1U of insulin, which, for me, is about 25 carbs for my ICR. But I ended up having to eat almost 100 carbs to stop the low after that peak. This was a really bad example, but it never seems to work out as it should.
I know that ICR and CF are approximate. I keep track of them: I should not be very far off most of the time. Like right now for instance, my last morning hormone peak was a 1:20 peak, as were the last two weekdays before, so this one should be close to that also.
So I am wondering about whether carbs used for a low have a different ICR if you are trying to cancel out extra insulin. And, if they do, why?