The GSOT folded because of the cracks in the front office and poor drafting (starting with the 2000 Draft). In that regard this Rams team seemingly has a much greater window.
While only one SB loser the past 10 years has gone on to win it the next year, 9 of 10 have made the playoffs and 6 have won their division. Will the Rams be able to repeat 13-3 and home field advantage? That's tough... Possible, but tough. My early guess is going to be 11-5, 3rd seed in the NFC, with a home win wildcard weekend. After that, as you said, the climb gets steeper, luck comes into play, and just...who knows...