This is intellectually lazy. The performance characteristics of boxed vs unboxed primitives isn't forbidden knowledge from the necronomicon that only the select few are ready to partake in. Even if you think it's obvious, if you can back up an argument, go back up that argument. It makes your case stronger, it shows you know what you are talking about.
If not for other people, do it for yourself. Things that are too obvious to bother checking is generally where we're most likely to be wrong about things. This is true in life in general but it's especially true with the JVM and it's continuously evolving performance characteristics.