As a Bevy dev - what platforms? We support Vulkan, DirectX12, Metal, WebGPU (with a bit more limited features), and WebGL2 and GLES 3 (with a decent amount more limited features and performance).
I double checked, and our rendering library _does_ partially supports DX11, as well as Angle, which lets you run the GLES3 backend on top of Angle on top of GLES2/DX11. They tend to be fairly buggy and incomplete, though. Arguably only usable for simple 2D games.
It is still GNM and GNMX, Playstation doesn't no Vulkan, and I am quite sure that just like with MoltenVK and DXVK, not everything can be mapped in a transparent way.
That's kinda a Sony problem. The best an Open Source project can do is build HLSL/SPIR-V IR and let you do the rest yourself. I don't really know what you're asking for besides that, it's how things have been since the PS4 launched.