Here's an example illustrating why an air-integrated computer can be useful.
Suppose you've just done a lot of 33-foot shore dives. Your surface air consumption rate is 1 cuft/min, and you use an Al80 tank, for which the air characteristics are 77 cuft at 3000 psi.
At the surface (one atmosphere), your tank will support your 1 cuft/min consumption for 77 minutes. That's 39 psi/min. So at 33 feet (2 atmospheres) on your dives, you'd consume 78 cuft/min. So when you see an "extra" 780 psi on your SPG, you instantly recognize you have an extra 10 minutes at your depth. Being human, you get used to associating 10 minutes with an "extra" 780 psi. [In this example, "extra" gas means gas beyond what your pre-dive planning has told you is needed for your ascent profile.]
Now let's suppose you're on your first 100-foot wreck dive after all those shallow dives. You note an "extra" 780 psi on your SPG. Quick--how much extra time is this? If you haven't planned your dive well and don't pause to think, your recent experience might give you a knee-jerk answer of 10 minutes.
Unfortunately, since you're now at 4 atmospheres, you only have 5 extra minutes, and the missing 5 minutes could get you in a world of hurt.
An integrated air computer can safeguard against making this simple mistake, since it estimates time remaining based on your current depth. Hopefully the clash between its report and your knee-jerk reaction will jog you to start thinking. Hopefully also, you also won't start relying on the computer's time numbers to the exclusion of all thinking (this possibility is why some people disklike computers).