Have added couple of Blog about the usage of Studio debugger, sharing it with the devnet.Working with CVP Call Studio DebuggerSet Breakpoints in Call Studio and Custom Code to Debug Apps
The session identifier is supported in CVP 11.6 and CVP will pass it to all the outgoing SIP messages, however to satisfy your requirement the Voice Browser need to handle the session id and pass it to VXML Server so that you could get it accessible ...
I hope its not stopped because of barged in, few milliseconds chopping is what i have heard of but it seems you have big amount of portion of wav file getting chopped.Could you upload the relevant logs.
You may be hitting CSCvf97245.Add this to the VXML Service registry -Djdk.tls.client.protocols=TLSv1.2, this should make the service compatbile with TLS 1.2, which may solve your problem.