I think you have part of the answer, in that there is a large relative pressure change from sea level. But that's not all. Is this the same as an altitude dive from 8000 ft, so we can just use altitude tables or set our computer to 8000ft? The answer is no.
It's the same as a saturation dive from 8000 ft in air to sea level, then a further dive, then an ascent to 8000 ft. It's that saturation part that's the problem, and is related to the slow compartment explanation which gets saturated. The equivalent in terms of relative pressure changes is a saturation dive from sea level to 23 ft sea water, then a further deeper dive, then a slow ascent back to sea level. Because of tissue saturation to 23 ft, the requirement is to make the final ascent from 23 ft over a period of 12-18 hrs to avoid the risk of DCS.
It's really because the diver starts out saturated to 1 atm, does a further dive and finally has to ascend to subatmospheric 0.6 atm.