Are you sure about that? I don't know this story about Metal, but I believe Apple has refused to certify an nVidia driver on Mac since like 2018 (I think), effectively cutting Apple users off from using nVidia products on Apple platforms.
Apple needs/wants to be in full control of their driver stack. They don't necessarily want to write it themselves, but they want tighter control than Nvidia is willing to give them. AMD on the other hand is much happier to offload responsibility and accept help.
I don't think this set of circumstances would come up for an ARM processor.
Or maybe not: [2]
[1] https://en.wikipedia.org/wiki/Acorn_Computers#ARM_Ltd.
[2] https://www.cultofmac.com/97055/this-is-how-arm-saved-apple-...
But when it comes to ARM chips, Apple designs their own ARM-compliant chips, so NVIDIA owning ARM would do nothing in that aspect imo. Especially since iPhone/iPad chips have been ARM-based for the past decade, so I don't think that Apple really has a good option or reason to switch away from ARM at this point.
That's the oft-mentioned and certainly plausible reason, but it's not a matter of fact that it's THE reason, is it?
But yeah, you are correct, there is no factual officially stated reason, and I wouldn't expect Apple to publicly bring it out ever either.
Nothing personal, just business.
So Apple can save the cost and get higher profit margins by not having powerful GPUs in their products.
They might be against nVidia GPUs. They won't throw their investment in Apple Silicon out just because of that.
Already, TSMC is the manufacturer for the cores, so Apple really doesn't have too much of a dependency on ARM in the short term.
I think what we'll see over the next 3-5 years is a divergence from the ARM-licensed design to an in-house-designed architecture: "Apple Silicon II"