The quick shortening sling is best for most guns, since a quick "tug" shortens then out of the way. An O/U with extra barrels will benefit from the clothbacked double buckle sling because it is easier to change barrels ( They can't be "pulled up tight" out of the way, but are easy to remove. Over 40 years I never felt the need to remove one because it was in the way). The braided ones make a lot of noise, when new. I never used one long enough to know if they are noisy when worn. They are not used for shooting because the swivel is soldered to the barrel and changes the POI. For me a sling is a requirement. These coments relate to the types shown in Raimey's NECG link, GGCA has them also.
Mike