Tvheadend

I'm getting a lot of dropped frames when playing Live TV in Kodi. The debug log in TVHeadend shows nothing special.
The other relevant logs can be seen in this post: http://forum.kodi.tv/showthread.php?tid=231955&pid=2288583#pid2288583 .
It happens both with hardware acceleration (VAAPI) enabled and disabled.

journalctl -u tvheadend -S "today" only shows entries like:
Mar 22 15:06:47 htpc tvheadend⁴⁰²: mpegts: 12129V in Astra 1 - tuning on TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0
Mar 22 15:06:47 htpc tvheadend⁴⁰²: subscription: 0064: "epggrab" subscribing to mux "12129V", weight: 4, adapter: "TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0", n
Mar 22 15:07:10 htpc tvheadend⁴⁰²: subscription: 0062: "epggrab" unsubscribing
Mar 22 15:07:11 htpc tvheadend⁴⁰²: mpegts: 11973V in Astra 1 - tuning on TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0
Mar 22 15:07:12 htpc tvheadend⁴⁰²: subscription: 0066: "epggrab" subscribing to mux "11973V", weight: 4, adapter: "TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0", n
Mar 22 15:07:23 htpc tvheadend⁴⁰²: subscription: 0066: "epggrab" unsubscribing
Mar 22 15:07:24 htpc tvheadend⁴⁰²: mpegts: 11778V in Astra 1 - tuning on TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0
Mar 22 15:07:25 htpc tvheadend⁴⁰²: subscription: 0068: "epggrab" subscribing to mux "11778V", weight: 4, adapter: "TurboSight TBS 6981 DVBS/S2 frontend : DVB-S #0", n
Mar 22 15:08:05 htpc tvheadend⁴⁰²: subscription: 0068: "epggrab" unsubscribing

I also just upgraded to the latest git version.