Critter 1.6a must have something specifically coded to detect positions like the second one in your post. On my machine, you're correct... it does evaluate the position as a draw, but not after a couple of hours, but after less than a quarter of a second!
10 [+0.00] 1. Kd2 Kf6 2. Kc2 Kg7 3. Kb2 Kh7 4. Ka2 Kh6 5. Kb2 Kh7 (0.24)
Good work, Richard.
If I let the engine continue to evaluate it, after a minute and a half it stops evaluating entirely, and then reports that White has a -.05 disadvantage.
64 [-0.05] 1. Kd2 Kf6 2. Kc2 Kg7 3. Kb2 Kh7 4. Ka2 Rc5 5. Kb2 Be8 6. Ka2 Bc6 7. Kb2 Rc8 8. Ka2 Be8 9. Ka1 Kh6 10. Ka2 R5c7 11. Kb2 Bc6 12. Kb1 Kh7 13. Ka2 Be8 14. Kb2 Bd7 15. Ka2 Kg7 16. Kb2 Kf7 17. Kb1 Kf8 18. Kb2 Rc6 19. Kb1 Kg7 20. Kb2 Be8 21. Kb1 R6c7 22. Ka2 Kf6 23. Kb1 Ke6 24. Kb2 Bc6 25. Kc2 Ke7 26. Kc1 Be8 27. Kb1 Bf7 28. Kb2 Rd8 29. Kb1 Rh8 30. Ka2 Kf6 31. Kb2 Rd7 32. Kb1 Be6 33. Ka2 Kg6 34. Kb2 Kf7 35. Kc2 Rc8 36. Kb2 Kg6 37. Ka2 Rdc7 38. Kb2 Kh7 39. Ka1 Bg8 40. Ka2 Bf7 41. Kb2 Be8 42. Kb1 Rb8 43. Kb2 Kh6 44. Kc2 Rbc8 45. Kd2 Kh7 46. Ke1 Kg7 47. Kf1 Kh6 48. Kg2 Rc5 49. Kf1 R5c7 (99.67)
The Weakness of Computers
My three engines (Fritz 12, Comet B68 and Crafty 23.00) all evaluate it between -15 and -20
Critter also finds 1.Nf6+ (first diagram) instantly, but it takes the engine a full minute and a half before it goes back to that move and realizes it wins.
(If this isn't an incentive to download Critter (it's free), assuming you don't already have it, then nothing is.) 
2 [+0.09] 1. Nf6+ Kg6 2. Bc2+ Kxf6 3. d8=Q+ Kg7 (0.00)
4 [+0.67] 1. Nf6+ Kg6 2. Bc2+ Kxf6 3. d8=Q+ Kg7 4. Qe7+ Nf7+ 5. Kd5 (0.00)
5 [+0.00] 1. Nf6+ Kg7 2. Nh5+ Kg6 3. Bc2+ Kxh5 4. Bd1+ Kg6 5. Bc2+ Kg7 6. d8=Q (0.00)
8 [-1.63] 1. Nxe3 Nf7+ 2. Ke7 Kg6 3. Bc2+ Kg7 4. Nf5+ Kg8 (0.23)
9 [-1.81] 1. Nxe3 Nf7+ 2. Ke7 Kg8 3. Nc4 Nb8 4. Ne5 c4+ 5. Ke6 Nxd7 6. Nxd7 (0.26)
10 [-2.42] 1. Nxe3 Ba5 2. Bb3 Kg6 3. Nd5 Nb8 4. Bc2+ Kg7 5. g4 Nf7+ 6. Ke6 c4 7. Ne3 Nd8+ 8. Kd6 (0.33)
11 [-2.27] 1. Nxe3 Ba5 2. Bb3 Kg6 3. Nd5 Nb8 4. Ne7+ Kg7 5. Nf5+ Kf6 6. Nxh6 Ne4+ 7. Kd5 (0.35)
11 [-2.18] 1. Nxe3 Ba5 2. Be2 Nb8 3. Ke7 Nc6+ 4. Kd6 Nd8 5. Kxc5 Kg6 6. Bd3+ Kf7 7. Kb5 Bc7 8. Nd5 Be5 9. Bc2 (0.36)
12 [-2.05] 1. Nxe3 Ba5 2. Be2 c4 3. Bxc4 Ne4+ 4. Ke7 Nb4 5. Nf5 Nc6+ 6. Ke6 c2 (0.39)
13 [-2.64] 1. d8=R e2 2. Bc2+ Kg7 3. Re8 c4+ 4. Kc6 Nf3 5. Rxe2 Nd4+ 6. Kb6 Nxe2 7. Kxa6 Nxg3 8. Kb5 (1.24)
13 [-2.05] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Ba2 Bh4+ 10. Kf5 Kg7 (1.50)
14 [-2.01] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Bh4+ 10. Kf5 Kg7 11. Nc2 Bf6 (1.66)
15 [-2.01] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Bh4+ 10. Kf5 Bf2 11. Nc2 Kg7 12. Bd1 Bg3 13. Nd4 Nd3 14. Bc2 (1.82)
16 [-2.01] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Bf4 10. Nc2 Bc7 11. Bf3 Bb8 12. Bh5 Nd7+ 13. Kf5 (2.37)
17 [-1.91] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Ne4+ 10. Kf5 Nf2 (2.96)
18 [-2.01] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Bh4+ 10. Kf5 Bf2 11. Nc2 Kg7 12. Bf3 Bh4 13. Ke5 Bf6+ 14. Kf5 Nd7 15. Ke4 Kg6 16. Ke3 Bg5+ 17. Kd4 Bf6+ (4.27)
19 [-1.89] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 c4 5. Bxc4 Nc5 6. Ne3 Ba5+ 7. Ke7 Bc7 8. Kf6 Bxg3 9. Be2 Bh4+ 10. Kf5 Bf2 11. Nc2 Kg7 12. Bd1 Bg1 13. Bf3 Nd7 14. Be2 Nf6 15. Bc4 Bc5 16. Bb3 h5 (7.79)
19 [-1.82] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 e2 4. Bxe2 Ba5+ 5. Kd7 Nb4 6. Ne3 Kg6 7. Bd1 Bb6 8. Nc2 Nd3 9. Kc6 Ba7 10. Be2 Nc1 11. Bc4 Kf5 12. Kd5 (8.64)
20 [-1.77] 1. d8=Q Nf7+ 2. Ke7 Nxd8 3. Kxd8 Ba5+ 4. Kd7 Bc7 5. Nxe3 Bxg3 6. Bc2+ Kh8 7. Kc6 Nb4+ 8. Kxc5 Nxc2 9. Nxc2 Be5 10. Kc4 Kg7 11. Ne3 Kg6 12. Kd3 h5 (21.68)
22 [-1.65] 1. Nf6+ Kg7 2. Nh5+ Kg6 3. Bc2+ Kxh5 4. Bd1+ Kg6 5. Bc2+ Kg7 6. d8=Q Nf7+ (31.71)
22 [+3.23] 1. Nf6+ Kg7 2. Nh5+ Kg6 3. Bc2+ Kxh5 4. d8=Q Kg4 5. Qe8 Kf3 6. Qh5+ Kf2 7. Qh2+ Ke1 8. Qg1+ Ke2 9. Kd5 Nc7+ 10. Kc4 Kf3 11. Qh1+ Kxg3 12. Qg1+ Kf3 13. Bd1+ e2 14. Qf1+ Kg3 15. Qxe2 Nce6 (81.35)
23 [+3.43] 1. Nf6+ Kg7 2. Nh5+ Kg6 3. Bc2+ Kxh5 4. d8=Q Kg4 5. Qe8 Kf3 6. Qh5+ Kf2 7. Qh2+ Ke1 8. Qg1+ Ke2 9. Kd5 Nc7+ 10. Kc4 Kf3 11. Kd3 e2 12. Qe3+ Kg2 13. Qxe2+ Kg1 14. Qe3+ Kg2 15. Bb3 Kh2 16. Qe2+ Kh3 17. Kc2 Ba5 18. Qf2 Bb4 19. Qf4 Ba5 20. Qd6 (91.84)
All of my other engines, so far, also evaluate the second position as bad for White.
Get your engine to evaluate these positions. The first one is a forced win for white. The other is completely drawn. But unless you keep your engine running for a few minutes in the first one, and a few hours in the second, it says that black is easily winning!