A little bit further:
There does not seem to be a "wake up script". A daemon called "powerd" reacts to the power switch and triggers other sleeping processes to wake up. One of them is the "Connection Manager", which, as it's last act, performs this:
121005:181134 cmd: I lipc:gsp:prop=state, source=com.lab126.powerd:Get string property
Which seems to be the cause of the exception, some property is requested, maybe one that does not exist in "Connection Manager" as running on my DXG, and this leads to the exception. I believe I need the help of someone a bit more expert in the Java side of the Kindle OS, com.lab126.powerd looks like a typical Java class name, complete with package name.