I’m afraid not possible to do anything there from the search perspective. If it is stored as part of the post content, then it is picked up as text, and the plugin searches it.
The printing of the elements is entirely up to the results page – including titles, the text content and everything, that is parsed by the results page loop. Maybe if elementor archive widget has a filter to remove sections of the text it could be doable via that.
All this plugin can do is pass the result object IDs to the results page and the rest is handled by the loop – in this case elementor archive widget.