Wang Yue's Corresponding Squares

In the following puzzle, it is White to play. Black just played Qf6 to e7. White can choose some critical corresponding squares in this position. He can choose e2 and e1 for the queen. d3 is also a playable corresponding square for the rook. g1 and h1 is very interesting for the king to move. But Moiseenko (2700+) choose h2 for the king.

The following is the game in PGN format.


[Event "World Cities Team Championship"]
[Site "Al-Ain UAE"]
[Date "2012.12.25"]
[EventDate "2012.12.22"]
[Round "4.9"]
[Result "0-1"]
[White "Alexander Moiseenko"]
[Black "Wang Yue"]
[ECO "D17"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "176"]

1. d4 d5 2. c4 c6 3. Nf3 Nf6 4. Nc3 dxc4 5. a4 Bf5 6. Nh4 Bc8
7. Nf3 Bf5 8. Nh4 Bc8 9. e3 Bg4 10. f3 Bd7 11. f4 e6 12. Nf3
Bb4 13. Bxc4 c5 14. O-O cxd4 15. exd4 O-O 16. Ne5 Nc6 17. Be3
Rc8 18. Bd3 Ne7 19. Ne4 Nxe4 20. Bxe4 Bc6 21. Nxc6 bxc6
22. Qd3 g6 23. Kh1 Nd5 24. Bg1 Qa5 25. g3 Rfd8 26. Bf3 Bf8
27. Rfc1 Rb8 28. b3 Rb6 29. Bf2 Qb4 30. Bd1 Qe7 31. Rc4 Qb7
32. Kg1 h5 33. Rb1 a5 34. Bf3 Rb8 35. Bd1 Nf6 36. Kg2 Qd7
37. Bf3 Nd5 38. Bd1 Qd6 39. Qd2 Ra6 40. Rbc1 Qd7 41. Qc2 Ba3
42. Ra1 Bd6 43. Qe4 Kg7 44. h4 Kg8 45. Rb1 Rab6 46. Qf3 Nf6
47. Rbc1 Ba3 48. Ra1 Bf8 49. Rac1 Nd5 50. Kh2 Ra6 51. Kg2 Rbb6 52. Kh2 Nf6 53. Kg2 Qd5 54. Bg1 Kg7 55. Bc2 Ba3 56. Re1 Bd6 57. Rc1 Kf8 58. Bd1 Ke7 59. Be3 Kd7 60. R4c3 Bb4 61. R3c2 Ba3 62. Rb1 Ra8 63. Be2 Qf5 64. Bd1 Nd5 65. Bd2 Bb4 66. Rbc1 Ke7 67. Bxb4+ Rxb4 68. Rd2 Rb6 69. Bc2 Qf6 70. Bd1 Kf8 71. Rc5 Rb4 72. Qf2 Ne7 73. Bc2 Kg7 74. Qe3 Nd5 75. Qf2 Qe7 76. Kh2 Nf6 77. Kg2 Ng4 78. Qg1 Rd8 79. Rxa5 c5 80. Bd1 Rbxd4 81. Rxd4 Rxd4 82. Bxg4 hxg4 83. Qe3 Qb7+ 84. Kf2 Qh1 85. Ra7 Rd5 86. Qc3+ e5 87. Qe3 Qh2+ 88. Ke1 Qc2 0-1