Those narrow band clamps are called AccuSeal style and are made for slip fit connections where the bell end is slotted and the kerf sections allow for the bell end to crush down uni-formally. Commonly found on OEM exhaust that is meant to go together once and stay together.

The torca easy-seals are sized for a stretched tight fit. Sometimes the pre-made ones dont allow for enough crush and they run out of size before getting tight. Torca EasySeals