Hi Olivier,
I experienced similar issues with different AV products. Some sources seem to stop outputting embedded audio after a few seconds after audio playback is stopped. I noticed that the AV device showed "no audio present". It seems that the "info frames" in the HDMI signal are changed after a few seconds once audio is stopped.
Maybe the DMPS needs a few seconds to detect the audio signal once playback is resumed. Check settings that might speed up audio signal detection after resuming audio.
Best regards
Crestronfreak55