That does not really appear to be the case.. I looked for some father-son pairs from Cricket, and I could find both cases..  Here are some cases, where both father and son have same dominant hand:

  • Peter and Shawn Pollock: Both Right handed
  • Vijay and Sanjay Manjerekar: Both Right handed
  • Lala and Mohinder Amarnath: Both Right handed
  • Chris and Stuart Broad: Both Left handed
  • Colin and Chris Cowdrey: Both Right handed
  • Iftikar and Mansur Ali Khan: Both Right handed

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