backshifting - I asked + present/past tense

Consider the examples:

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  1. "My name is Ricky."
  
  


• 
  
  2. He said his name is Ricky.
  
  

The tense is not backshifted in #2 because his name is and will always be Ricky. Also consider:

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  3. Ricky says: "I live in Paris."
  
  


• 
  
  4. Ricky said that he lives in Paris.
  
  

The tense is not backshifted in #4 because he still lives in Paris.

For examples #2 and #4, it is possible to not backshift the tense because the reporting words are still true at the time of reporting, but what will you say about the following examples:

5. I asked what his name is.


6. I asked where he lives.

Here, is it correct for #5 and #6 to not backshift the tense?

If #5 and #6 are correct, then under what conditions is it correct to not backshift the verb like that?