I have been diving since the mid 1990s. Almost every computer that I have had has been a console mount with my last one being an Oceanic ProPlus 3.
I have recently replaced it with a wrist mount (a Perdix AI), but I have unfortunately not had a chance to go diving since I bought the Perdix. I did briefly have a wrist mount computer around 2003.
My following comments are based on that experience. They are my opinion and nothing else, so take them with a grain of salt.
IMHO, both console and wrist mount have advantages and disadvantages.
___________________________________
One of the big advantages of a console is that I absolutely know that even if I find myself rushed, I will never jump in the water with my computer still on the boat. Consoles such as the Oceanic ProPlus series have large easy to read numbers. Consoles are "connected" to the 1st stage and will never lose contact with the 1st stage. You know that unless the computer has failed, that when you look at it the info will be there.
The big draw back of a console model is that if you forget to clip it onto your BCD, then it will dangle and possibly drag along the reef. The quick, easy & cheap fix for this is to buy a small retractor and the clip it onto your BCD. A retractor will allow you to pull out your computer to check it and then when you let go of it, it will tuck up tightly against you and not drag.
___________________________________
Wrist mounts are not without their own set of advantages and disadvantages. Keep in mind that I have had only limited diving experience with a wrist mount and that was more than 15 years ago.
There are a couple big advantages of wrist mount dive computers. The most obvious is probably location. I will always know where my wrist is and I can not foresee a situation in which I would be dragging my wrist along the coral that does not include a sudden catastrophic medical emergency. A wrist mount can be positioned, as someone mentioned above so that it is always visible much like a dashboard. Modern wrist mount computers have very easy to read screens and some (such as the Perdix AI) have displays that can be customized to best suit your needs.
They are not however without their drawbacks. During the brief timeframe when I used a wrist mount dive computer, I was struck by how often when I looked at it I would get a message indicating that the signal was lost and it was searching for the signal. This was usually remedied in a few seconds, but during that period, I simply had to wait for the computer & transmitter to sort themselves out. Keep in mind that this was about 15 years ago. Connectivity may be much better today.
Another drawback is the potential that if rushed, it gets overlooked and is left on the boat. For me, by the time I take my next dive trip, will will have been over two years since my last one. I can see myself being slower to get prepped than I am when I am diving somewhat regularly. Another drawback, although a minor one is that it is a good idea to have some sort of redundancy in how you wear it. Whether that is dual straps or bungee cords like on the Perdix or something as simple as a "NATO Strap", it is a good idea to not rely on just typical watch straps.
___________________________________
For the type of diving that I do, a Perdix AI is overkill. I do not need it and I will never exploit the vast majority of its capabilities. To be honest, if the Peregrine had been available when I bought the Perdix, I probably would have gotten it instead. I do like AI though, so I still might have bought the Perdix if for no other reason than to get the AI.