The phrase "broader implications" means that something has consequences or effects that go beyond just one situation or scenario. It suggests that there are larger, more significant outcomes or impacts that should be considered. Full definition
The study comes with broad implications for a world shattered by human activities. (sciencedaily.com)
A third is that scientists in highly specialized fields would do well to reach out for added statistical expertise when trying to test broader implications of their work. (dotearth.blogs.nytimes.com)
Hence I find it easy to move from a norm relevant to those involved in dialogue to one with broad implications for the religious world today. (religion-online.org)