Cable length is an issue. A fifty feet HDMI cable at Monoprice is less than 25 USD. A similar USB 3.0 cable needs to be active and costs 100 USD. My mind boggles at the thought of a 50ft USB C cable.
The only reason HDMI still exists over the vastly superior DisplayPort is the cable length. The DP standard, if memory serves, limits the cable to 3 metres / 10 feet so the max cheap passive cable you can buy on Amazon is obviously 15 feet. Meanwhile, the HDMI standard has no cable length limit but in practice 50 ft is the longest passive you can buy.
This discussion was about replacing HDMI with USB C -- I presumed on both ends. Switching USB C to HDMI alt mode and then running a HDMI cable is not replacing HDMI with USB C. Let's not even mention I am unaware of any product switching USB C to HDMI alt mode. All the available USB C to HDMI converters are using DisplayPort alt mode and an active converter, packed in one IC.
10gbps, 60W USB C-USB C cables are not even available at more than 6ft. It's too complicated a standard for that. You'd need fiber and USB-fiber extenders steadfastly refuse to come down in price even at 5gbps and I haven't even seen a 10/20gbps.