It would very much depend on what type of carbs, how much overshoot of insulin and time scale of insuling injection to when carbs where eaten...
I use your bowl of pasta to make the above a tad clear if I can
Pasta is quite a slow adsorbing carb, so if you injected your insulin before eating the pasta, the injected insulin could be hitting the BG before the Pasta has started to adsorb, so you end up hypo and needing to correct, but you are only correcting on the time factor, not the actual carbs from the pasta, they haven't quite hit the system yet..
If you are eating a faster adsorbing carb, which matches your insulin to dose, then it's likely you would be either zero or very near to the zero line not a lot of carbs left to adsorb into the system..
You are most likely to find, that carb/insulin ratio's will differ with the two different types of training, as they will use different muscles, so the bruning of insulin and carbs can be different.. So you need a slight different tactic to tackle each activity.
Hope it all makes sense