It seems Butler does not use the individual checklist item due date when converting outstanding items to new cards. Instead it takes an entire list of individual due dates, and changes them all to the main/original card due date when converting. This is obviously problematic and possibly a bug, rather than by design.
The rule will not pull the item due date across to the new card I'm afraid, so no.
The only conversion that does exactly what is required is as follows manually...
Hello Community! My name is Brittany Joiner and I am a Trello enthusiast and Atlassian Community Leader. I'll be sharing with you a series of videos with my top tips on how to best use Trello...
Connect with like-minded Atlassian users at free events near you!Find an event
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no Community Events near you at the moment.Host an event
You're one step closer to meeting fellow Atlassian users at your local event. Learn more about Community Events