Culturally, it seems like AMD is also a lot more of a "ignore things that don't bring in big bucks" kind of company, while NVIDIA is more of a "win everywhere we are, regardless of how big or small it is, salt the earth with the ashes of our enemies" kind of company
One of AMD's first big fuck-ups when it came to compute (and by extension, getting their foot in the AI door) was the same reason Apple fucked it up: they ignored the gaming/normie space when hyping OpenCL up, while also acting like it was a 1:1 competitor for CUDA performance/feature-wise, which it wasn't. They announced that everything R700-and-up would support accelerated OpenCL, but their target audience was entirely devs, datacenters, and video production, with a big focus on how it's free - unlike the proprietary CUDA, and that's about it. They were nowhere to be found when devs wanted to know exactly HOW the tools, libraries, and polyglots made this a better option than CUDA, and expected them to magic it into something themselves. The only time I remember ANYTHING vidya taking advantage of GPU-accelerated OpenCL was prehistoric Dolphin, where media-side, lots of video encoding apps didn't play nice with it, and on the decoding side, MadVR only briefly used it for NNEDI3. The most the average gamer was using accelerated OpenCL for was a trickle fund via mining Bitcoin, followed by Ether, followed by fried VRM's
Meanwhile, when Nvidia announced they were turning every Geforce from the 8800-and-up into a CUDA accelerator, they made sure to throw gamers a bone with PhysX now that they had all of Ageia's shit, and further down the line, Gameworks. This was all definitely proprietary and relied on cozying-up to devs, and people weren't wild about splitting the GPU ecosystem via exclusive grafix deals, but you can't deny they were a great advertisement for Nvidia GPU's, the Arkham games especially. Nvidia's way of cozying-up also involved being involved in development and providing devs the exact shit they needed to make this look good in a marketing sense. Even crypto miners moved to Nvidia once CUDA caught-up, ensuring that no GPU was safe from the may-make-money-in-the-future tax added to the pricetag. Nowadays, PhysX is more CPU-based when games aren't using Havok, but during the peak, you actually got something out of CUDA in the vidya space
Not to say that OpenCL didn't have promise though, Regeneration - the IDF madlad who made the hybrid PhysX mod - managed to get PhysX working on AMD cards, and was preparing a public release of the wrapper with Nvidia's blessing, but not AMD's. Despite testers confirming it was indeed real and working great, Regeneration dropped off the planet entirely, and there was no public release whatsoever. The two rumors are that A) AMD refused to provide help/support for newer drivers a la ATI Tray Tools' demise, even though this left them without a Rivatuner/Inspector rival. This was a problem due to the fact the drivers Rege was working with were pre-CCC overhaul (aka the .Net 2.0 abominations), and quite possibly introduced locks that killed his methods the same way they did with MPT, or B) AMD eventually lawyered-up to say "no" so they could get him on their team exclusively, which I believe when you consider they did the exact same thing to JohnM (for the failure that was fucking RAPTR) after he built a better CCC via Radeonpro, and then refused to update it at all out of sour grapes when Raptr/his cushy position was killed
https://web.archive.org/web/20080723012756/http://www.tgdaily.com/content/view/38137/135/
https://web.archive.org/web/2016032...-physx-gpu-acceleration-on-radeon-update.html
In any case, this was definitely a cool thing that'd definitely get people to pay attention to OpenCL, and AMD blew it, although at the same time, this was basically just getting you into Nvidia's club, which is another reason AMD probably killed it, as it was more or less free advertising for cool tech that wasn't yours and conceding defeat. In terms of pushing shit that stuck, I appreciate they pushed DX12 back when nobody wanted to use Windows 10, even though it was because it was one of the few ways they could beat the DX11-focused Nvidia. Mantle too was basically Vulkan Jr, even though Star Swarm and DA:I were NOT the killer apps to advertise it, that was Doom after the Vulkan update, which thankfully lit a fire under everyone's asses to slowly get off of DX11