Yes, It is true that Mobile friendly websites have more edge and importance over normal websites. It has become necessary to make your website mobile friendly for all devices to reach wider audience.
Google has also introduced AMP technology. AMP( Accelerated Mobile Pages) is a web component framework developed by Google which has the mission to "provide a user-first format for web content.
In 2015, I have also redesigned my website https://www.coupongot.com to make it mobile friendly for all devices. And now i am getting a good amount of traffic from different type of mobile devices. Because my website's all pages are mobile friendly.