MS is not part of Vulkan working group, and neither is Sony, so they don't do anything to support it. It can be supported on their systems only when they don't stand in the way (like on Windows or Android).
Regarding Nintendo, nice to see they are supporting Vulkan, but Nintendo Switch is not yet on sale and it remains to see how it will fare in the market against Apple and Google devices.
All the other devices from Nintendo don't support Vulkan.
> All the other devices from Nintendo don't support Vulkan.
No reason for them not to support it on any of their future devices. Older ones might not be possible, since Vulkan support has hardware requirements that not every GPU can fulfill (basically, no compute shaders = no Vulkan). Newer ones aren't a problem though, so I expect Nintendo to support it everywhere they can.
Also, think about it from GPU manufacturers perspective. Not only Nintendo have no need to reinvent the wheel anymore, they don't need to bug Nvidia about making special driver for them as well. They just use their Vulkan driver for their GPU (adapted for Nintendo OS which is FreeBSD based as far as I know). I.e. all win by stopping the pointless wheel reinvention (which costs money as well), and focusing on actually doing useful stuff. So I think Nvidia played a role here in pushing Vulkan through to Switch.
Same thing will eventually happen to Sony with whatever GPU they'll use then (AMD or Nvidia). MS will probably be the last to follow.