Hi Dev,
Below, I have a PDN of one of my games where, yes, we were down to one king each, but my next move was a definitive win. My opponent claimed the draw one move before he would have lost.
I can see how it would be difficult to know progmatically when players are in a one-piece-each draw situation and when they're not, but there are cases where the game can still be won:
[Event "Online game"]
[Site "www.flyordie.com/checkers"]
[Date "2026.06.22"]
[Round "2"]
[White "guest#455782"]
[Black "guest#455856"]
[Result "1/2-1/2"]
[WhiteTime "R0:08:25"]
[BlackTime "R0:08:52"]
[Termination "normal"]
[TimeControl "600"]
[UTCDate "2026.06.23"]
[GameType "21,B,8,8,N1,0"]
1. 11-15 22-17 2. 15-19 24x15 3. 10x19 23x16 4. 12x19 25-22 5. 8-11 17-13
6. 9-14 22-17 7. 6-10 13-9 8. 4-8 17-13 9. 1-6 27-24 10. 14-18 24x15 11. 10x19
26-23 12. 18x27 31x24x15 13. 11x18 28-24 14. 5x14 29-25 15. 6-9 13x6 16. 2x9
30-26 17. 8-11 26-22 18. 3-8 22x15 19. 11x18 24-19 20. 18-22 25x18 21. 14x23
21-17 22. 23-26 17-13 23. 9-14 19-15 24. 14-18 13-9 25. 26-31 9-5 26. 31-26 5-1
27. 26-23 1-5 28. 23-19 15-10 29. 7x14 5-9 30. 19-15 32-27 31. 8-11 27-24
32. 11-16 24-20 33. 14-17 20x11 34. 15x8 9-14 35. 18-22 14x21 36. 8-11 21-17
37. 11-15 17x26 38. 15-18 26-31 39. 18-23 1/2-1/2