From the NBRSA rule book for HV class...
The barrel shall not be less than 18” long forward of the bolt face and a diameter of not more than 1.250 inches from the bolt face forward 5 inches. From said 5-inch point, the diameter shall not be greater than would be defined by a straight taper between such point and a muzzle diameter of .900 at 29 inches
Light Varmint Rifle: Any rifle of not more than 10 1⁄2 lbs in weight, inclusive of sights, and otherwise meeting the requirement of the Heavy Varmint Rifle
Sporter Rifle: A Sporter Rifle is defined as any rifle having a safe manually and mechanically operated firing Mechanism and must not weigh more than 10 1⁄2 lbs, inclusive of sights. The stock can be flat, or convex, but not concave. The Forearm can be any width and have any angle. The butt stock can have any angle including a reverse angle, the barrel shall not be less than 18” long forward of the bolt face and can be any diameter or configuration including a straight taper or a reverse taper. The Sporter Rifle can be any caliber. Sporter Rifles do not have to conform to the Varmint Rifle diagram. All sand bag rules apply to the Sporter Rifle.
(weight and/or gun handling would seem to be the only limitations on a sporter barrel profile. 10-1/2 lbs is the weight limit, same as LV. It seems to me that anything resembling the op's pic of the reverse taper contour would be difficult at best and ill handling at worst, IF you could somehow make weight with one like it)
From the IBS rule book...
Page 41 of the link below. Suffice it to say that HV and LV are the same as NBRSA. Hunter class is even more restrictive.
http://internationalbenchrest.com/downloads/Rulebook revised 031518.pdf
This is not to say that you can't experiment with other contours in both IBS and NBRSA. Just that it must fit with the aforementioned "box". NBRSA's Sporter class adopted new rules just a few years ago to allow more experimentation. IIRC, this was one of them. It maintains the 10-1/2lb rule though.
UBR has no such restrictions on barrel contours and encourages experimentation such as this...The gun must weigh 13-1/2 lbs or less in all but Unlimited class.