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For 13 HCP hands a surprise to me one hand type is below average. (see complete computer output in computer output section)

4333 no A and only one K (number of hands is small 0.001%):-

 North South results
** best contract(NT or suit) average trick is 7.929
** best suit contract average trick is 7.833
** no trump average trick is 6.754

37.7% + 8.73% = 46.43% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 8.075
** best suit contract average trick is 8.075
** no trump average trick is 5.710

53.57% positive score for E/W.

This is for both not vul
North south make 95 37.70% 381.16 East west make 109 43.25% -322.66
North south sac 26 10.32% -165.38 East west sac 22 8.73% 127.27

 

4333 no A and only two K:-

 North South results
** best contract(NT or suit) average trick is 8.208
** best suit contract average trick is 8.131
** no trump average trick is 6.960

54.95% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 7.836
** best suit contract average trick is 7.836
** no trump average trick is 5.456

45.05% positive score for E/W.

This is for both not vul
North south make 1787 45.80% 339.17 East west make 1396 35.78% -295.72
North south sac 362 9.28% -140.06 East west sac 357 9.15% 155.18

 

4333 and no A:-

North South results
** best contract(NT or suit) average trick is 8.331
** best suit contract average trick is 8.256
** no trump average trick is 7.046

56.66% positive score for N/S.

East West results
** best contract(NT or suit) average trick is 7.777
** best suit contract average trick is 7.777
** no trump average trick is 5.355

43.34% positive score for E/W.

This is for both not vul
North south make 4904 46.94% 349.92 East west make 3479 33.30% -288.02
North south sac 1049 10.04% -135.46 East west sac 1016 9.72% 158.07

 

4432 no A and only one K (number of hands is small 0.002%):-

 North South results

** best contract(NT or suit) average trick is 8.005
** best suit contract average trick is 7.939
** no trump average trick is 6.361

47.78% positive score for N/S.

 East West results
** best contract(NT or suit) average trick is 8.222
** best suit contract average trick is 8.222
** no trump average trick is 5.986

52.22% positive score for E/W.

This is for both not vul
North south make 166 38.88% 310.36 East west make 173 40.52% -330.46
North south sac 50 11.71% -228.00 East west sac 38 8.90% 176.32

 

4432 no A and only two K:-

  North South results
** best contract(NT or suit) average trick is 8.403
** best suit contract average trick is 8.348
** no trump average trick is 6.723

55.80% positive score for N/S.

  East West results
** best contract(NT or suit) average trick is 7.885
** best suit contract average trick is 7.883
** no trump average trick is 5.630

44.20% positive score for E/W.

This is for both not vul
North south make 3417 45.47% 348.92 East west make 2549 33.92% -327.54
North south sac 773 10.29% -165.33 East west sac 776 10.33% 143.81