Well as I said I have guns with sculpted frames which are rounded in the front of the bar & then have square corners in the back. This includes, but not necessarily limited to, Lefever, the above mentioned J P Clabrough, Baker, & even a lowly American Gun Co (Crescent) hammer gun. None of these have ever to my knowledge been referred to as Round Action or even Round Body. This is what I am seeing in the Dumoulin, the front of the bar is rounded, but behind the sculpting it certainly appears in the pics that the corners are square.
The front portion of the bar on most of these I have are more rounded than this one appears but I would still not refer to than as round action guns. I do have a VL&D Knock-About made by J P Sauer & Sons which is also a back action sidelock. This gun also has plates which resemble a bar action & it does have the lower frame, behind the sculpting with a small radius on the corner. I didn't measure but no more than Ľ" I would think. This would not qualify it as a Round Action, not certain even a round body, but it does serve to "Break" the sharp corners.
"IF" this gun indeed has radiused corners then please just say so & I will Shut my Mouth & Apologize. As is however In looking at the pictures it still appears that the lower action body has sharp square corners in the area below the bar portion of the lock plates all the way back to the wood.
"IF" the rounded portion of the bar ahead of the sculpting makes it a Round Action then I will just have to say that the vast majority of the doubles I own are all Round Action in spite of my saying I did not own a round action gun.