Hi Zoran,
I was at the WebRTC expo last week, and Bowser came up. The general perception by people in the know there was that Bowser is a brilliant hack, but not something you should use for production use.
That said, what I would suggest doing:
use Chrome and bowser in a chat using the Bowser example. Make sure you start with the Chrome inspector window up so you can see the SDP offer and answer messages in the websocket stream (it will have a status of 101, pending).
then do the same thing in a chat using an easyrtc example.
If you compare the two sets of messages, there should be something different. It's then a matter of figuring out what causes that difference.