Kate asked me whether I would like my chocolate ice cream in a cup or cone.

[keannu]

For past's "would like", if it's not backshifted, does it have to be the same "would like"? The direct speech might have been like this.
- Kate asked me "Would you like your chocolate ice cream in a cup or cone?"
Or does it have to be "Kate asked me whether I wanted my chocolate..."

ex) Kate asked me whether I would like my chocolate ice cream in a cup or cone.

 

[5jj]

Kate asked me whether I would like my chocolate ice cream in a cup or cone.

That's fine.

 

[~Mav~]

For past's "would like", if it's not backshifted, does it have to be the same "would like"?

*** NOT A TEACHER ***

As much as I know, there is no simple past form for "would like", as there is, for example, for "want". :-? (I want my chocolate... :arrow: I wanted my chocolate... // I would like my chocolate... :arrow: ???
"I would have liked" would be the equivalent to "I would have wanted.")