Since I am a technical diver, a cave diver, I look at this a little differently for my dives. Dives in caves are not like recreational dives. It is a sawtooth profile in a cave. The tables were designed for a dive where you descend to a depth, stay there for some time, and then ascend to the surface. If you do multi-level dives, and you are using tables, technically you don't get to take advantage of a time at a shallower depth. I know that some do depth averaging, but I am not a fan of that. This is the big attraction to computers to begin with, getting credit for the shallower profile as your computer tracks your depth.
On a cave dive, you don't just go down to a depth and then gradually get shallower until the dive is over. Its a sawtooth profile that may bring you shallow enough to require a deco stop before you can continue in a run in the cave. Without a computer, if you had to figure all of these stops manually, it may take you a lot of dives, first of all, to know where all these points are, and then a lot of concentration on not missing those stops. The computer figures all that out for you without having to think about it. All I need to be concerned about is planning enough gas for the dive on whatever gas management rules I am using. The computer will tell me where all my stops are. And I carry redundant identical computers (DR Nitek Duo) on my cave dives (although I usually make additional deep stops on deco dives).
If I do a recreational dive, I don't need to worry as much about the profile. I try to always go to the deepest part of the dive first, and then go shallower from that point out (within reason). So if it is a wall dive, I go as deep as I want to down the side, and then move up higher as the dive goes along to avoid deco. With a computer, you can track your nitrogen during the dive, and ascend to a shallower depth before you exceed the NDL.