From what I remember Intel failed at least twice to make it happen with compute shaders.

First they had a kind of OpenCL plugin, which died when plugins got widespread killed.

Then they finally managed to ramp enough quorum to add OpenGL compute shaders to WebGL 2.0, as an extension, just to have Google killing the efforts with "compute on the Web should be done via WebGPU".

So now it is time to wait again, until WebGPU actually makes it.