Based off 15+ years of data, we have found the organic installs between apps that rank first and second for high-volume keywords is around 2 times (dependent on category). This is why we advocate for leveraged paid marketing to further maximize organic growth.
Combining paid and organic growth together into a complete and optimized UA cycle is our reccommended method for consistently achieving high rankings. Paid growth allows the app to become more visibile to users while simultaneously gathering user search data. Organic growth influences long-term growth and sustainability thus lowering costs. Together, both strategies are able to bring maximized growth for apps.