The time settings and multiplier is an arena setting and has no ties to the map size.
That is true. However, in practical terms if I understand correctly, a large map would have potentially longer darkness conditions depending on where you are on the map.
At dawn, the west edge of the map is much darker than the east side and the day starts with the sun below the horizon for a while. Similarly, at dusk the east side is much darker than the west, and the day ends with the sun below the horizon for a while.
Does the day cycle go from sun coming up from the horizon if you're at the east edge and go until the sun disappears from the west edge? Or does it use the middle line of the map as standard?
If you start the day on the west side and end it on the east, you're going to be in the dark longer on a large map than a small map.
Wiley.