an ordinary chessplayer wrote on 01/27/20 at 23:04:07:

2...d5 must be the equalizing move. Other moves are transpositional, black might consider them if more winning chances are needed.

In the Lugovskoy - Timofeev game, 1.d4 Nf6 2.Nc3 c5 3.d5 e5, Lugovskoy's 4.dxe6 looks unmotivated. The normal 4.e4 gives white good chances of an edge. There is also 4.Bd2!?, shades of a Carlsen - Aronian encounter which was discussed on this forum.

We are not looking at 2.Bf4. We are looking at 2.Nc3. That's a different story. The Carlsen - Aronian game you are saying I guess is this one...

[Event "Your Next Move (Blitz)"]

[Site "Leuven BEL"]

[Date "2017.07.01"]

[EventDate "2017.06.28"]

[Round "6"]

[Result "1-0"]

[White "Magnus Carlsen"]

[Black "Levon Aronian"]

[ECO "A45"]

[WhiteElo "2832"]

[BlackElo "2793"]

[PlyCount "119"]

1. d4 Nf6 2. Bf4 c5 3. d5 d6 4. Nc3 e5 5. Bd2 Be7 6. e4 O-O

7. Be2 Nbd7 8. Nf3 Ne8 9. a4 g6 10. Bh6 Ng7 11. Nd2 Kh8 12. h4

Nf6 13. h5 Nfxh5 14. Bxh5 Nxh5 15. Bxf8 Qxf8 16. g3 Nf6

17. Qe2 Kg7 18. Nc4 b6 19. a5 Ba6 20. axb6 axb6 21. O-O h5

22. Rxa6 Rxa6 23. Nxd6 Ra8 24. Nc4 Qb8 25. Rd1 b5 26. d6 bxc4

27. dxe7 Qc7 28. Qxc4 Qxe7 29. Nd5 Nxd5 30. Rxd5 Qf6 31. Qc3

h4 32. Qxe5 hxg3 33. fxg3 Ra2 34. Qxf6+ Kxf6 35. Rxc5 Rxb2

36. Kf2 Ke6 37. Ke3 f5 38. Kd4 fxe4 39. Kxe4 Rb4+ 40. c4 Rb3

41. g4 Rg3 42. Rc6+ Kf7 43. Kf4 Ra3 44. Kg5 Ra5+ 45. c5 Ra4

46. Rf6+ Ke7 47. Rxg6 Rc4 48. Rc6 Kd7 49. Rd6+ Ke7 50. Rd5 Ke6

51. Rf5 Ke7 52. Kh4 Ke6 53. Kh5 Rd4 54. Rf1 Rd5+ 55. g5 Rxc5

56. Kh6 Rc2 57. g6 Rh2+ 58. Kg7 Rg2 59. Kh7 Rh2+ 60. Kg8 1-0

Here it is played 5.Bd2. It looks like a waste of time. Still in the line I mentioned probably more logic is to go for 4.e4.

Other options might be on move 3...d6 as I believe it was mentioned previously here as well.