Attempting to answer the revised puzzle:
1.Nxe4 Qd5 2.Qg3 with the threat of 3 Ne6 winning due to double threat (4 Qxg7 and discovered attack from the Rd3). White still carries out this threat if Black answers 2.Qg3 with either Qxe4 or Rxe4. Presumably this is strong enough that the engines didn't even let Black answer 1.Nxe4 with Qd5. Note that this tactic also depends on Qg3's access to d3 (after Qxe4 3 Ne6 Qxe6 4 fxe6 Rxd3) and the 8th rank (for Qxe4 3 Ne6 Rxe6 4 Rxd8+ Re8 5 Qb8!).