I think it's missing a killer app. But I am not sure what WebTransport would enable that isn't already possible with current APIs. Unreliable datagrams? WebRTC. Reliable bidirectional communication? WebSockets. WebTransport probably would make some of the usecases easier or more efficient but it's value proposition isn't well communicated or better yet, demonstrated.
To be clear: I like WebTransport and want to see it supported widely. But it needs a bit better communication of its value proposition. It needs a bunch of examples for both client and server side. Ideally with a comparison to their WebSocket and WebRTC counter parts to highlight the advantages.
EDIT: Chrome on Android DOES support WebTransport. I previously claimed it doesn't based on the incorrect info on https://caniuse.com/webtransport but have since verified it myself that at least Chrome v103 on Android 12 does indeed support WebTransport.