Lmaooo this reminds me of that girl in Hell's Kitchen that started a boil with cold water because "I thought cold water was supposed to boil faster" (since more heat transfer).

It doesn't matter that the colder-than-0 mixture absorbs more heat. It will eventually heat until 0c and at that point it'll be at the same starting point as pure 0c water... Except for it also had the extra time before 0c, thus it took longer to heat up. Same reason why starting a boil with hot water will obviously be faster than cold water...