Yeah, Tauri would be great. But I think it will take quite some time until the fundamental rendering performance issues [1] under Linux can be fixed. There seem to be rough plans to bundle CEF on Linux [2], but AFAICS this seems to be only a discussion at this point.
If I got it correctly, they would only do this on Linux to face the performance issues of the native webview. Also, there are ideas of a shared installation: https://github.com/chromiumembedded/cef/issues/3836
[1] https://github.com/tauri-apps/tauri/issues/3988 [2] https://github.com/tauri-apps/wry/issues/1064