No, you don't need an air-integrated dive computer. I'd recommend saving the money for essential dive equipment, training, or dive vacations somewhere warm. The Veo 3.0 looks like a good computer, but $500 CAD still seems a bit high for it. If you looked around hard enough, you could probably find a PC-downloadable, nitrox-capable, legible dive computer with intuitive interface and a user-replaceable battery for under $300 USD. It's best to purchase a computer made by a reputable manufacturer with a track record of providing good customer service. (If you're interested, do a search for "Oceanic Geo battery problem" on ScubaBoard. There appears to be a battery issue, and it will be interesting to see how Oceanic handles it.) Gauge mode might be useful down the road. Many dive computers can be mounted in a console or in a wrist-boot depending on your preference.
Most of the arguments for getting a hoseless AI dive computer have already been pointed out. IMO, it's not a big deal to look at an analogue SPG every five minutes during a dive. I also prefer to keep my gas management separate from NDL calculations -- AI dive computers usually only display the most limiting factor at a given point. Analogue SPGs have a long track record of use in the sport of diving. They are simple, reliable, easy to maintain, and don't require batteries (AI computers and their paired wireless transmitters do). I believe that wireless technology has advanced in recent years, but I have friends who still complain about certain hoseless AI computers losing the signal from the transmitter during the dive. For underwater photographers, the firing of strobes has been known to disrupt the signal from transmitter to computer.
All this being said, some people like the convenience of being able to look down at one display and see all relevant dive data (remaining air, NDLs, current depth, ascent rate, etc.). The question you'll have to answer for yourself is whether you're willing to spend the $$$ for that convenience.
As a newer diver, it can be tough making decisions on big ticket scuba items. Salesmen can pressure you with lines like: "Well, it's life support equipment so you want the best." It's not mere coincidence that the "best" is also the most expensive and gives the salesman the highest commission. Do your research, figure out what features are important to you, and then shop around for the best price. Don't let salesmen pressure you into making any rash decisions.
Hope this helps...