Navy's $670M Fighting Ship 'Not Expected to Be Survivable,' Pentagon Says (2013)
wired.com
wired.com
We quite openly referred to our FFGs (the most capable warship LCS is to replace) as "missile/torpedo sponges" to protect the "high value units" the FFG was to escort. The other types of missions LCS is supposed to take on are handled today by even less capable craft (e.g. the MCMs doing minesweeping for us today could be sunk by any random nation's coast guard).
But even ignoring 'tin can' destroyers/frigates in the guided missile age, Naval strategy since the time of Alfred Mahan has been for combat to be between major fleet vessels on either side with smaller ships simply playing a harassing or auxiliary role.
The idea is that if you can destroy their big decks, then their remaining little decks couldn't appreciably resist your remaining big decks anyways. The experience of WWII actually served to mostly bear this theory out (in the context of fleet-on-fleet engagements) except that the carrier became the most destructive ship afloat, not the battleship.
So it makes sense that LCS is not expected to be survivable. I think a lot of the confusion might come from the idea that people hear so much about LCS that they expect it's some kind of very powerful upcoming warship, which is not the case at all. It's nothing more than a modern frigate, which is about the smallest kind of surface ship that has any right to be called a "real warship" at all.