The slugs shoot a much flatter trajectory than a diabolo pellet. For example, when I shoot my Cricket I zero the rifle for 50 yards with JSB 25 grain. At 50 yards my 37 grain slugs shoot a little lower than my pellet because it is 12 grains heavier. However, at 100 yards the pellet and the heavier slug have the same POI. This means at 100 yards the slug is traveling faster than than pellet, plus it's 12 grains heavier weight which means the FPE is much higher for the slug.
My Cricket is tuned to about 980 fps for JSB 25 and the slugs shoot about 850 fps, muzzle velocity. Even with these speed differences at the muzzle, the slug surpasses the pellet performance at range.
Past 100 yards and the pellet falls fast where as the slug is hitting with less drop and way more energy. In a lot of situations this is an advantage, but as I described above, sometime the slower pellet is the better choice. I own a pest business / animal trapping, and we choose different ammunition based on the job and safety factors for the job with these things in mind.
I can not put the link to nielsen specialty ammo but the 25 caliber slugs I make for .250 barrels are very accurate and shoot flat. They work in Cricket, marauders, and other .250 barrels. They do not work in Korean barrels because they are larger bore barrels.