Pretty close in 2022, but third quarter 2023 gaming revenue decreased 51% from previous year and data center revenue increased 31%, so it may be helpful to use up-to-date figures. I couldn't find profit breadowns by sector but I would be surprised if gaming even came close to datacenter profit-wise.
To be fair, though, pretty much the entire (vocal) enthusiast PC gamer niche has universally panned the recent releases from Nvidia and is hoping and waiting for the next 5000 generation. If Nvidia had released a "good" and competitively priced 4060/70/ti segment, their numbers might have looked different.
Anecdata (n=1): I'm currently running a 3070 but increased my screen size lately, so I'd like to upgrade and hand down my current card to my wife. After checking the current market, I essentially have two choices: either spend ~300€ more than I should have to on a 4070ti/4080 or bury the chance of properly working with AI locally and go with AMD (which might increase my power costs immensely as well).
So I just do neither and wait, and I'm surely not alone in this position.
It seems dedicating their chips to AI and datacenter products are going to be the focus for a while. Not only is the profit better but the distribution is easier, they don't have to deal with third-party card manufacturers, and they don't have to deal with the notoriously picky gamer market. If they can sell every chip they produce in a datacenter card, why would they care about gamers?
