Love Letter is a fun game. In my first game, I was eliminated before my first turn, and in just over half the rounds I have played, I have been knocked out before my second turn. In most games, I would not tolerate that degree of lack of player control, but the game creates a low level of investment in each round of play that makes it acceptable.
Hands of Love Letter are quick. A full four-player round takes a few minutes at most. If you are knocked out, oh well, watch how this round goes and you will be back in the game shortly. Sometimes not having a fair chance is fine when you get lots of chances that come quickly; slot machines rely on that perception (although those never give you a fair chance, so the whole gameplay there is “slowly losing” with some steps backwards on the path to bankruptcy).
In Love Letter, poor luck is constrained rather than cumulative. Many games give you many chances, but if you get a bad start, you will never catch up. Lots of classic card games like Poker are very good at this: unless you are playing no-limit, your luck in one hand has almost no effect on your chances in the next hand. How many “strategy” games have you seen decided (90+% probability) in the first quarter of the game when one person has an amazing turn while another has the worst possible luck for 15 seconds?
The cumulative effect is not making you suffer through the rest of the game because of a bad bit of luck. You should never “suffer through” your entertainment. I am usually enthusiastic about Eurogames’ rarely knocking out players before the end, but if the outcome is (90+%) known and you are just going through the motions for another hour, that is a wasted hour. Finish it so we can play another game. Keeping everyone in until the end is only a virtue if they have a chance at the end; surrender in the face of certain loss is honorable, not rage quitting.
And finally, Love Letter advertises that luck and guessing are involved. It does not pretend to be a strategy game while having its outcome determined by luck of the draw. It is surprising how much players can control the outcome despite the luck of the draw.