To my knowledge, it will be only technical agencies that will not want you to use AI. If you don’t plan to go that route you can use AI without any issues.
All of that varies by agencies and individual instructor, and the thinking is rapidly changing.
My first computer (more than 20 years ago) was air integrated, but attached to the tank on a console. As a new diver, I liked having all the information in one place, even though I had to reach for it. What I especially liked about it was that I could see for myself how my air consumption changed due to changes in depth and the way I breathed. I therefore intuitively learned about my air consumption rate before I had a clue it was a thing.
Decades later, I am a tech instructor who uses two computers on his wrists, but neither one is air integrated. To check my air consumption, I have to refer to an old-fashioned analog gauge clipped off at my waist. That is slightly inconvenient, but that is a minor issue for me because, believe it or not, in most cases checking your air supply for advanced dives like that is less important than it is for basic recreational dives. That is because basic recreational dives end with the divers' tanks relatively close to empty. Because having enough gas is so important on a tech dive, we carry loads of it and plan to end the dive with plenty of gas in the tank. If all goes according to plan, we will end the dive with a lot of extra gas, so we only have to check every now and then to make sure everything is going according to plan.
The exception is with sidemounted divers, who have to switch back and forth between tanks. In that case, air integrated is really nice, and if I were diving sidemount more often than I do now, I would switch to AI computers.
For my tech students, I don't care which they use. I will work with whatever you bring to the dive site.
So, for a new OW diver, if you can afford AI computers, go for it.
