eventually they die too, they persist long enough I think, having previously tried to get up several times, but finally all in vain.
I still remember in one of their faucet I got 0.9 LTC,
but the site had been sold before I could withdraw them: D
yes several faucet in that time give even more but when turn to withdraw they just went dead.
also i heard that they dont want to develop ltc, but i see future for little more cuz they want to merge pools with several other coins.
as long as this is option ltc wont die if they leave this then it will slowly loose no. 2 on list but it wont die.