How would that help anything at all? The GPU chips would still be going to miners rather than being available for gaming cards. And nothing would be preventing the miners from picking up gaming cards as well. In fact, gaming cards would be preferable for mining, for the simple reason that when the market predictably crashes a year or so down the line and mining on the cards becomes unprofitable, they can be easily resold on the used market, whereas it will be much harder to recoup the value of a mining card that can't be easily used for other tasks.
I wonder if Nvidia purposely designed these cards with mining in mind when they were seeing the profits they made from miners a few years back. After all, it seems a bit odd how they changed this architecture to offer substantially more FP32 compute performance per core, despite it appearing to have minimal impact on performance in today's games. A 3070 might offer around 20 Tflops worth of FP32 compute, but in games it only performs about on par with a 13.5 Tflop 2080 Ti. There appears to be around a 50% greater increase in compute performance relative to gaming performance. Because of this, we might actually see Nvidia's cards be more in demand for mining than AMD's this time around, if mining takes off again, unless AMD happened to make similar changes to their architecture.