@sns HDMI natively supports pure audio - have a look at my earlier post where I list what it can do. It is a very impressive list, certainly way beyond I2S.
Now, HDMI connectors are attractive for other uses. I have a camera system in my motorhome which supports four analogue TV cameras feeding a single display. Dometic, who makes this system, choose to use HDMI connectors to carry the analogue TV signals. Despite there being a standard HDMI connector for in-vehicle use, Dometic use the totally unsuitable consumer connector! Hopeless.
I had never heard of I2S when I started this thread, but I can understand how HDMI with its 19 connection pins would provide an easily available way to transmit four signals. But it certainly is not native HDMI. There are 10s of billions of HDMI connectors in the world today.