The question more than if Sony would adopt it would be if MS would want to implement and allow DirectX on PS and Switch. But they won't because they want you buy an Xbox instead.
Sony wouldn't use it because they have a better solution more optimized for gaming and consoles, generating less overhead to provide a little extra performance and allowing devs 'code to the metal', while DirectX has another approach more designed to use it on a wider range of hardware.
Nowadays most devs don't care because they don't touch it because unlike in the past now it's more common to use external game engines like Unity or Unreal who are the ones who interact with DirectX and similar. Or even in the case of AAA companies who build their own engines, or in the UE/Unity teams there's a specific team for these things so most of the other devs don't care, it's transparent for them. And the ones working with these things would choose the most optimized possibility in terms of performance/memory usage/etc., which pretty likely would be platform specific solution instead of the other solution that supports a very wide amount of different hardware.