Current rumor is that AMD is actually assisting Nvidia in enabling adjustable BAR on AMD chipsets directly through a simple driver update, so that part seems lined up. But Intel has to expose the feature on their chipsets as well for it to work. Anyway you cut this, we're looking at firmware flashes for Intel motherboards. AMD chipsets already have the feature exposed apparently, so should be a simple driver update to Nvidia GPUs to enable it... once optimizations are accomplished.
IF AMD gets this up and working for Nvidia GPUs on AMD chipsets before Intel gets this up and working on their own, AMD will get to claim another victory in a way... Suddenly, Smart Access Memory works with AMD and Nvidia GPUs, only on AMD chipsets... Intel could take a significant hit in gaming mindshare over this if it plays out badly enough. Nvidia and AMD could really lay an ouchie on Intel here.
Edit - I should point out that Nvidia has no problem running boxes with AMD silicon for CPU, look at the latest quad A100 workstations with a 64 core/128 thread Epyc processor running them. HOWEVER, it need also be pointed out that Nvidia owns ARM now. A sneak attack with a sudden gaming oriented ARM processor out of Nvidia and dedicated gaming platform is not out of the question at this point. Keep an ear out for rumors around middle of this year for Nvidia cooking up an ARM based gaming CPU. Stranger things have happened...