From reading the white paper, it sounds like they are saying the circuit breaker could open, the control circuit is not powered but somehow the coil remains powered and burns up.
Yes and I have been told it can happen in a fraction of a second.
In a grid tie situation using grid clocked inverters there is no situation where the line side voltage will be significantly lower than the load side voltage and you will not have a situation wnere the control circuitry of the XFCI is not properly powered .
I have seen variations of several volts and amps in meters on both sides of the POCC, the inverters are not always perfectly aligned
This is not what we normally consider back feeding where the line side of the breaker remains hot with the breaker open.
The GFCI protection only needs work as designed once and then it may be incapable of preventing utility fault from passing through it the possibility. See NEC-2008 690.64(B)(3) and NEC 2011 705.12(D)(3).
Newer breakers (made within the last 10-15 years) with integral and/or add-on GFCI devices should be listed for reverse feed applications, but few manufacturers indicate that specifically as it relates to the GFCI function, anything older and you may want to get written documentation from the manufacturer.
Lastly, we routinely combine the output from several large inverters at a distribution board with a GFCI main feeding back to the POCC, in that situation the line side is towards the inverters, should a fault occur between the inverters and said GFCI the GFCI protection may be burned up after the breaker is opened by the utility backfeeding the load side if the breaker and GFCI protection were not listed and tested for reverse feed applications.
My mentioning this to begin with was more a precautionary statement since we have dealt with it and I know of a couple others out here that have as well. Replacing a large GFI breaker can make a medium project significantly less profitable or put it in the red for small projects if you're going to eat the cost because of what you didn't know to look out for.
See page 5 of the following link:
http://www.osti.gov/bridge/servlets/purl/764900-aoqwfv/webviewable/764900.pdf