I somewhat struggled further and found a version that's stable enough to be able to zap between channels without freezing: Openelec 6.0.3 with TVHeadend 4.0.8 and OSCam from the 'unofficial addons'.
It's the only version I tried that's actually able to start the VLC-stream clicking the links in TVHeadend.
I saw the Omx-hardware-decoder run in Kodi with my MPEG2-license. However, a HD-channel was still not showing completely fluent on a SDTV during a panning camera, which appeared to be the default NTSC setting of the RPi. When I altered it to SDTV_mode=2 the issue disappeared.
From this point we could look further for transcoding a channel.