Hi,
The results page is a theme related feature, all themes have one. Elementor and other page can create archive page templates (such as the results page), by creating static pages and injecting them inbetween the header and footer templates basically.
Usually the best is to use the theme results page, and modify it via a child theme file to your needs. Search plugins usually does not temper or change the layout of the results page, that is for the templates to handle. Search plugins change the actual search query or replace the result to display on the results page, but that has to be handled by the theme itself.