If the agreement is actually that broad, they are messing with you; but there is a very good reason why grid-connected solar/wind/diesel generator/whatever systems are supposed to either shut down or have a failsafe disconnect from the grid under an outage condition:
If an outage has occurred, the odds are substantially better that some part of the system is damaged, and some poor guys in bucket trucks are putzing around with the wires trying to get things hooked back up. If somebody’s home generator is still pumping into the grid, unpredictable portions of what should be ‘dead’ line will be hot enough to potentially kill the lineman, start a fire, whatever.
Now, if the contract actually says ‘HAHAHA, suffer in the dark!’, you are being screwed; but if it says ‘Absolutely No Way does your system remain grid-connected and energized during an outage, your choice of staying connected and going dark or cutting over and staying lit; but At Least One Had Better Be True’, that’s just a standard safety measure.