I suppose than the more modern video compression algorithms apply such image analysis already, to an extent. I don't know how e.g. VNC or RDP work, but it would be naural for them to have provisions like that co save bandwidth / latency, which is often in a shorter supply than computing power.
Of existing still image codecs, JPEG XL seems to have the right properties[1]: the ability to split image to areas and / or layers, and the ability to encode different areas either with DCT or losslessly. But these are capabilities of the format; I don't know how well existing encoder implementations can use them.
[1]: https://en.wikipedia.org/wiki/JPEG_XL#Technical_details