This has been an interesting thread. Enough that I thought I would respond to it. First, my qualifications to comment. I have over 1,700 dives, of which all but the first 100 have been on a computer. I was one of the first in the world to use a dive computer, because I was one of the first to buy an EDGE (the first commercial computer which I bought in 1984). Which I still own to this day. I currently dive a SmartCom, for reasons not relevant to this thread.
NO. You don't need a dive computer.
If your diving is simple. If you don't dive much. If you dive very conservatively. If your air consumption is bad. If you never do multi-day diving. If these are true statements, then you won't miss a computer.
But for me, a computer is an absolute necessity. In fact, such a necessity that I dive with a small backup computer just in case my regular computer malfunctioned. Which it did once (using an ORCA Phoenix).
I can't imagine diving without a computer. I'm quite capable of figuring out multilevel diving using the tables. I'm a physician who use to be chamber certified in a previous career. And I don't give up using my brain diving with a computer. But the point is that I don't want to figure out dive tables. The computer frees me to concentrate on other things. And it allows me to dive any profile I want without having to determine it a priori and follow it slavishly. And since moving into nitrox, using a computer is even more freeing. And finally, they are not safer, but they do allow you to extend bottom time safely. People who haven't used a computer don't know what they are missing. I remember having conversations like this in the late 80s when only a few people had computers. I didn't realize that things hadn't changed.
But let's look at the economics of computers. They are not that expensive. $300 or so gets you a good one. But look at it realistically. If all you do is dive locally you may not need one. But a good computer will last years and can end up costing far less than a dollar a dive. Especially if you dive a lot. Which makes them even more valuable.
Yes, you don't need a dive computer. But I won't dive without one. And if we ever go on a dive together. That's fine. You can dive without a computer. Just don't complain having to wait for me up on the boat. Take care,