Thank you for the responses. They have helped me formulate my solution.
Here's my summary workflow for replatting an existing subdivision (confirmed and working quite well):
1. Use the New Subdivision Workflow (Creates new Subdivision Parcel, creates Tax Parcel Parcel Remainder(s), creates new Lots, & creates new Tax Parcels.
Because the New Subdivision Workflow only creates Tax Parcel Parcel Remainders and doesn't do anything with the Subdivision Parcel or the original Lot Parcels, the next two steps are required:
2. Using the newly created Subdivision Parcel as the cutting polygon, create a Parcel Remainder of the original Subdivision Parcel (Remainder assigned same name/plan as original subdivision). Original Subdivision is now historic with the Remainder active.
3. Again, using the newly created subdivision as the cutting polygon, create Lot Parcel Parcel Remainder(s) from the original Lot(s) within the original Subdivision Parcel (Remainders assigned same name/plan as original). Original Lot(s) are now historic with the Remainder active.