Thanks for providing a pretty good answer with great detail. A responsive web design definitely provide a lot of help for any website for its SEO.There are 4 main benefits of responsive web design.
1. One Website, One URL: if you have a responsive website, you can build social shares for just one URL, and when the site does get shared, wherever the link is viewed – whether on a mobile, tablet, or on desktop – all of the content will be clear and easy to navigate.
2. Responsive Helps Combat a High Bounce Rate
3. User Experience is Enhanced
4. Google Loves Responsive: And since Google is the divine being you’re trying to impress with your website, it is wise to pay attention to what Google loves. Google not only recommends RWD as the best way to target mobile users , but also favors mobile-optimized sites when presenting results for searches made on a mobile device. This is especially true when mobile users search for local services.