Chess engines are currently not able to give you a good analysis of opening moves all by themselves. This is basically due to the huge number of possible variations during the opening phase. Engines are effectively limited to a certain depth and if the potential positions some 10-20 moves later are still roughly equal you cannot decide on a best move.
Particularly the KID is known for being tricky for engines. Usually they give white a large advantage and underestimate any counterplay of black.
Because of this, analyzing openings is usually done with human interaction. For instance a player would pick certain lines that he is interested in and have the engine look more deeply into those directions. Also other factors than just objective computer evaluation do play a huge role in openings, such as:
- how playable is this line for me and for my opponent (does he have to play only moves or is it easy to play)
- am I aiming for a save draw or for a wild game with chances for both sides
Also, they'd use stronger engines and strong computers than the one on the lichess website.
Anyway, in this particular case you should ignore what the engines says and trust many decades of games played in this line.