I don't think I used the word, "exactly."
At any rate, my point remains the same as it has always been. From the beginning, man has known what a "day" is. It is the period from one sunrise to the next. It's the sum of a waking period and a sleeping period, the full cycle. It's how he counts his days, how he measures the passage of time.
I must be missing your point, because I fail to understand how or why that can or must be argued. It's a given. The Bible was written by God through man for man. There is no valid reason to decide a day is anything other than a day.