JVonD, that is not true. You an control the HTML5 audio player via Javascript / jQuery to drop the source while using the <audio> element for playing streams.
http://stackoverflow.com/questions/1...-stop-function
There exists a plenty of jQuery player, which can handle this inside a simple HTML5 document. These player can be embedded also in each CMS or blog-system.
But ya for sure, the best way to play audiostreams are native applications, because each browser has another audio/video playback/buffering handling on different operating systems.