There's also a firing rate issue. Even if the system produced net power, significant production would require many shots per second. Currently, the laser flash lamps are expendable and it takes on the order of a day (and lots of money) to prep for each shot.
Some of these drawbacks were addressed in the LIFE proposal, which would use fusion neutrons to burn fission fuel in a blanket around the fusion chamber. You could burn spent reactor fuel subcritically (no fission chain reaction), for example. But then it's a fission machine, and criticality excursions aren't much of an issue in conventional fission reactors. In the end, there are many drawbacks and little benefit with such a setup -- even if it worked.
I love lasers, and NIF is a marvel. But there really is no sensical story about power production in it. Even the machine's stated purpose -- stockpile maintenence -- is highly dubious. It is really an elaborate welfare machine, given to weapons scientists in exchange for their support of testing bans.