In all the testing that has been done with deco theory over the years, there is still no precise model. Two divers diving the same profile, even within the tables, may end up with one bent and the other fine. They could go outside the rec limits, and both be fine. Even the same diver can do the same dives on two different days and get hit one day and not the next.
It's all very fuzzy.
A computer is just a very precise way of measuring a fuzzy number.
Have you ever heard the phrase "measure with a micrometer, mark with chalk, cut with an axe"? That is what a computer does, it serves as the micrometer. However, the goal (NDL or deco requirements) isn't so precisely set.
So arguing that a computer is "more precise" is pointless. The precision is wasted. And since the goal is so fuzzy, nothing is really lost by using some mental shorthand tricks (aka approximations) to track it.
I've used a computer for years. I did find that over time I was getting lazy and just looking at my computer to see how I was doing.
I am now moving into the 'no computers' camp. This is because I've been learning the mental shorthand for keeping track of my profile and calculate my NDL based on that, whether diving air or nitrox. But I also find that the act of keeping track in my head keeps me focused. It keeps me paying attention to my dive, the same way that tracking altitude speed and distance helps me keep track of my flight when flying.
The more I got into flying, the more I wanted that awareness of what was going on with the flight. Just the same as with diving. I am looking to more advanced diving in the future, and am learning the techniques now. Had I learned them years ago, I could have used them on my recreational dives for the past decade and only had to add a few things for more advanced dives. I wouldn't have to start from scratch with them as I am now.