If you implement similar copy, design elements, internal links, schema, and get the same backlinks, there’s no reason for search engines to show your website.
Search engines don’t need two versions of the same page. What they may need more than yours is something better that gets searches to a solution faster or more easily.
If you’re adding things because competitors have them, it is in the search engine’s best interest to continue showing the current winners. If you’re emulating their success closely, then you’re effectively admitting they have the better resource.
Focus on what they are missing or what they’re doing that is irrelevant to the search intent, and always track their changes and your own.
