The very first photo seems to have a pointed cuff on the sleeve. At one time the sleeves were made with pointed ends, with the point towards the front of the sleeve. The purpose was to allow it to be pulled down and cover the top of the hand during cold weather so as to provide warmth. The ends of the sleeves was protected with cord to keep it from wearing through, over time the cords became a different color. Over time the pointed sleeve end was no longer needed and the folded pointed sleeve ends became false and no longer were functional. but the trim was still kept. An example of this is the Federal frock coats. On the Federal frock coats one could not unfold the sleeve ends to cover the hand and in fact the false cuff were no longer even double thickness. The term used for these non-functional cuffs was "false cuffs". Note modern US Army officers service coats still have a false cuff, but it is not pointed. The modern officer coats have trim where the false turn back is, senior officers have wider trim which comes from back when wealthier officers could afford wider trim.