Streaming was in earlier versions, but removed in V14 (if memory serves). One of the reasons cited was the resources that streaming required of the processor given that it was a never ending function. There was no mention of any copyright concerns at the time as these still exist even with today's ability to upload.
There was quite a bit of backlash when it occurred and Nick indicated that they would re-examine the feature and possibly re-implement it at a later date, but I have not kept up with it since, so am uncertain where it stands. This was back in Mar 2016.
The only thing I can suggest at this point is to go to the 3CX Ideas forum and "up vote" the suggestions that are already present and addressing same.