Tobias, as you know, I'm having issues with an audio solution in TablePress. Having looked at instantdecisif's website and this post, I see that he has achieved what I need in his tables.
Checkout his table here: http://www.lucilin.lu/repertoire-en/
I set the table to view 10 rows for visual ease. Now, if you navigate through the pages on the table, you'll see that the audio players are populating the cells on different pages. My issue so far has been with iOS devices - they won't play audio in a paginated table. Well, I checked the above site on an iPad and it's working!
I downloaded esAudioPlayer and installed it. Of course, it won't work for me! Tobias, I'm hoping you can look at the above table, then compare it to my table here: http://thetracksmiths.com/beats/fight-club/
On my table, as you navigate to the next paginated page, the players dissapear! They DO play in iOS, so I'm half way there. The ironic part is, on the 2nd page where they players are invisible, they are actually there in the HTML code! I'm hoping you can compare instantdecisif's table with mine and see if we're doing something different. Maybe a setting in DataTables needs to be tweaked on my end?