Why would you "decide to use TOGA at the last minute"?
More info is required to analyse your numbers but the ASDR is obvious isn't it? You need to accelerate to Vgo and then decelerate to 0. All other things being equal then more thrust will get you to Vgo sooner and therefore in less distance. The deceleration will be the same for both cases.
Gumby. I've rejected twice. Both were for failure following bird ingestion. No amount of previous husbandry would have prevented them.