Not fully knowing what is your business need of looking historical period , couple of inputs here
- If you are just renaming a member then your previously loaded data will be still intact in the cube only issue you will face to drill back to your custom table if the member name is different during the prior period processing of data vs current period
- You could have handled via custom drill back code in your connector business rule
- You could change your transformation rule and reload back your history period which I will not recommend
I can provide further detail as we had custom solution in place to handle this kind of scenario with our business need. Let me know your exact use case.
Thanks
Khirod Palai