Callout bubbles are view specific. Elevation and section tags are not. Hence when you duplicate, they don't show up. Now your probably thinking, well, duplicate with detailing, still won't work as the thinking behind callouts is they come from a single parent view.
If you have used floor plan callouts, then at the moment, I am not familiar with a work around beyond copying and pasting. If you created a callout detail view, then select the callout and in properties, change "show in" to 'intersecting views". the callout will now appear in duplicated views.
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