ASHIKAGAさんは日本の方だと思いますが,この点は同意 しかねます。
(I believe that
@Ashikaga san is Japanese, but I don't agree with your statement above.)
In my view, どこで食べたいか(Where do you want to eat?)と何を食べたいか(What do you want to eat?) have similar meaning. Because, what we can eat depends on where we eat. So, Asking where to eat nearly equal what to eat, I think.
If my opinion is beside the point, please point that and ignore me.