Some capture cards (Blackmagic comes to mind) have worked together with NVIDIA to expose DMA access. This way video frames are automatically transferred from the card to the GPU memory bypassing the RAM and CPU. I think all GPU manufacturers expose APIs to do this, but it's not that common in consumer products.

> Are there APIs which can sidestep the "load to CPU RAM" part?

On windows that API is Desktop Duplication. The API delivers D3D11 textures, usually in BGRA8_UNORM format. When HDR is enabled you would need slightly different API method which can deliver HDR frames in RGBA16_FLOAT pixel format.

On Linux you should look into GStreamer and dmabuf.