This situation remained exactly the same in SQL Server 2014, but has changed dramatically with SQL Server 2016. SSRS in SQL Server 2016 contains significant advancements, chief among them are a new HTML5 rendering engine, a new report portal, mobile reports, and (soon) Power BI Desktop rendering. This is fantastic news, but it also changes the game significantly with respect to the Integrated/Native mode decision. With SSRS 2016, most of the new investments are in Native mode only – the balance has shifted. The table below shows an (incomplete) list of new features, and their supported modes.
You still need Integrated mode to read Power View reports, and John mentions a few places where Native mode falls short, so take the time to plan out which is right for you.