It‘s been mostly rock solid. Kodi is more flexible in terms of interface. If you don‘t like plex‘s ui - tough luck.
I‘ve actually started using Plex for my highest-end Dolby Vision MKV‘s because Kodi didn‘t support playback yet. Might be different now.
Other than that I don‘t see massive differences tbh. Plex is certainly more of a „set it an forget it“ solution. Kodi is certainly a very good option, but if you have more than 1 user you might need some media server setup in addition (emby server, er even server side plex).
Edit: just updated on my shield. Does anyone know if Dolby Vision is supported now? Quickly tested it with a compatible movie - didn‘t work.
Edit 2: just looked it up. Apparently dual layer mkv is not supported yet. Guess I‘ll keep using Plex for this use case for now.