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Which is more popular, the King's Indian Defense or the Nimzo-Indian Defense?

After 1. d4 Nf6 2. c4, 2...e6 is more common than g6. However, 2...e6 includes transpositions into the Queen's Gambit Declined, which complicates matters. Likewise, 2...g6 possibly includes the Grunfeld. Given that, how would we go about answering the question in the title?

For the sake of simplicity, let's discuss using the Master's database on Lichess.
1 d4 Nf6 2 c4 e6 3 Nc3 Bb4: 67907 games
1 d4 Nf6 2 c4 g6 3 Nc3 Bg7: 67697 games
That suggests that the Nimzo is more popular. The thing is, white doesn't have to play 3. Nc3 against 2...g6.

We could also expand this question to include whatever Nimzo players play against 3. Nf3 (Bogo, Ragozin, or QID), but it may get too complicated.
White does not have to play 3 Nc3 either after 2...e6 or 2...g6. 3 Nf3, 3 g3, 3 Bg5, 3 Bf4... are all possible
1 d4 Nf6 2 c4 e6: 179894 games
1 d4 Nf6 2 c4 g6: 123461 games
Right, but in the first case, 3.Nf3 is not a Nimzo Indian, while in the second case it is still possibly a King's Indian Defense.

So based on your data so far, which one would you say has been played more often?
Chuck Norris plays the KID for sure.

„Männerschach“ as er say in German.
The greats Fischer (against Spassky 1972), Kasparov, Radjabov all have deserted the "manly" King's Indian Defence in favor of Queen's Gambit Declined or Queen's Gambit Accepted.
"King's Indian Defence is riskier for black than King's Gambit for white" - Bronstein
The NID is much more solid. I´ ve never played the KID as black, this opening is maybe just bad!

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