Using Type C for DisplayPort instead of the good full-size DisplayPort connectors is less reliable (easy to disconnect accidentally) and it permits only shorter video cables.
More importantly, this blocks the Type C connector, which I need for other purposes, e.g. an external SSD. I do not want to carry a Type C dock, so I end using HDMI, even if I do not need HDMI and I do not want HDMI and even if in almost all cases the devices had enough free space for a full-size DisplayPort connector.
Even replacing the HDMI connector with a DisplayPort connector (so that the devices would have only full-size and Type C DisplayPort) is always a better solution, because there are a lot of cheap adapters from DisplayPort to HDMI, which do not need a separate power supply and they can even be incorporated inside the video cable. The reverse adapters, from HDMI to DisplayPort, are much more expensive and much bulkier, so usually they are not acceptable.
That's because those are active converters — contrast DisplayPort has "DP++" which means the source port is electrically capable of transmitting either DP or HDMI signals; the graphics card can switch modes. The adapter is a tiny IC to signal doing that switchover and just wires the data lanes through. HDMI has no such thing, you need an active protocol converter IC to get DisplayPort.
(NB: there are also active DP→HDMI converters, they have a bit longer range than the passive ones. I had to use one of them for my home projector, it's on a 10m HDMI cable which only worked on a blue moon with a passive DP++ adapter. Funnily enough it doesn't work on my native HDMI port either, only the active converter gets it running reliably… might be a poor 10m cable ;D)
DP++ wasn't part of the original DP spec, but I don't believe any DP source hardware that doesn't support DP++ is being manufactured at this point.
On one of the HDMI pins there is a DC voltage, but it has other purposes and it is too weak to provide power for a video converter.
This is why an HDMI to DisplayPort converter always requires an additional external power supply.
However, the main use of adapters is when you travel and you find in your temporary office an HDMI-only monitor, or when you must use a meeting room projector. Such monitors or projectors seldom support high performance video modes.
(actually works both directions, e.g. if you have a portable display with only Type-C connectors like this https://www.hp.com/us-en/shop/pdp/hp-e14-g4-portable-monitor — BUT it can't power the display, you need to use another connection on the display for that.)
There is no HDMI over Type-C (there was an attempt at it, but it died. Probably for the better of not having even more Type-C confusion and interoperability issues.)
157 (4.7%) have 2 DP inputs
2446 (74%) have 1 DP input
724 (22%) have no DP input
Including USB-C ports, 949 (29%) have ≥2 DP inputs
1806 (54%) have 1 DP input
572 (17%) have no DP input
Compare HDMI: 1350 (41%) have ≥2 HDMI inputs
1791 (54%) have 1 HDMI input
186 (5.6%) have no HDMI input
I agree it could be better but I don't think it's as bad as you make it out to be. Looking through the devices that have no DP input at all, 488 of the 572 have VGA inputs, which I'd say indicates an older generation of devices."Consumer" electronics (i.e. TVs) is a problem though, I'll agree.
Is this useful, if all the relevant devices only have HDMI ports and not DP?