I'll address this from the operator's point of view, and, yes, we do hear your computer beeping when you come up, and yes, we do read it over your shoulder when you give us your profile after a dive.
Your computer is as much life support equipment as your air is. Most if not all divers that own computers use them to keep track of their nitrogen loading, use them to maximize their bottom time, and do not use tables. If you used tables, you'd get a bottom timer and depth gauge, not a computer.
On a liveaboard where 5-9 dives per day are offered, your nitrogen exposure is bumping up against your NDL's, and your oxygen exposure is high, especially if you are diving nitrox. Most haven't really paid much attention to their computers, except to ensure it isn't in deco when you surface. Now, you forget to reset your O2 level on a dive. You "tox out" your computer at 20/50 feet, and continue to dive, because you don't hear that incessant caterwauling the computer is making. Or maybe you do notice it, and you surface, but the computer is locked. I defy anyone on this board to work a set of square profile tables any time after the first dive and still be on tables. It's next to impossible. I've seen it a hundred times, and only once have we been able to correlate the dive to tables, and that was for a true air hog making 20 minute runtimes in 45 feet.
Now, you might suggest I let you back in the water after your computer failure. But you are missing an essential piece of life support equipment. You have no real idea what your exposure to nitrogen or oxygen is, and 99% of divers don't have the knowledge to make a decision based on decompression theory/oxygen exposure/diving physiology to make the decision to get back in the water wisely. Those that do will almost always opt to sit out until they are "clean" and start over. That means a 24 hour rest.
A dive operator is expected to be (as a professional) more informed regarding decompression theory/oxygen exposure/diving physiology then the average open water diver. I still can't tell you what your profiles were, or what your oxygen exposure was nearly as well as that computer can. So I'll throw the question back at you a different way.
If your computer fails on you for whatever reason, is your desire to return to diving within 24 hours based on your own personal safety and desire to return from the dive trip safely, or is it based on monetary/vacation restrictions? Do you want to live to dive another day, or are you interested in instant gratification? Are you really wanting to rely on me to treat you properly for the signs and symptoms of decompression sickness rather than keeping safety first and foremost in your mind? Is "safe enough" safe enough?
I know which client I'd rather have on my boat.