Okay, now "pactl list short sinks" lists:
I can play on this from my computer but it‘s just stereo like the name suggests (strangely, it isn’t "analog-stereo", since I get it over HDMI audio). On native Kodi UI though, I can play 5.1 material in 5.1 (no passthrough used, just PCM). So, the 5.1 option is still missing in PulseAudio‘s exposed interfaces.