So I just tried a few more puzzles to find examples. Here's one:
lichess.org/training/uemtVSo after fxe6, the puzzle ends. Material is equal, and black's rook appears to be "hanging" on d2. But of course, the rook isn't actually hanging - because the whole idea of the sequence is ...Qxd2 Qh1+ Kf2 Ne4+ winning the queen. Both Qh1+ and Ne4+ are by far the best moves in the position (Qh1+ is -62 for black, 2nd best move is +7 for white. Ne4+ is -63 for black, 2nd best move is -7).
So if black is looking to solve the tactic, he might see that Rd2 distracts the queen from the defense of the king. But he doesn't have to see the concrete win to get the tactic right, and will have to enter the analysis board to see the full sequence if he isn't able to find it himself.
I probably should have proposed a solution to this in my original post, since looking back it just looks like I'm just complaining. Which was not my intention at all! I love Lichess and everything you guys do here. I do downvote tactics I don't think are great, but the thing is, it's not a bad tactic at all. Sacrificing the rook to distract the queen, forcing the king to a square where you can play a royal fork is actually a pretty great tactic.
I think one of the issues might be that instead of Qxd2, the engine shows that Nd4 is technically more accurate, since it's only -8 for black instead of -52. But if Nd4 is played the continuation is trivial, you take white's queen and are up tons of material. Qxd2, although it is objectively worse than Nd4, is the critical line in this tactic, since the whole reason that Nd4 is more accurate, is because Qxd2 doesn't work tactically! But making this differentiation between critical line vs. the technically accurate line probably would have to be done manually by human input, which is what I assume is the main issue here.
Maybe in addition to letting users upvote/downvote, and select which tags are appropriate, there could be a way for users to suggest additional moves to be added to the tactic so it's complete? I don't know how feasible that could be, but it's really all I can think of.
Anyways, thanks for all you do Thibault. Have a great day!