It seems to me that writing is almost always beneficial. It helps you to further develop your ideas and specific voice. However, the hard part is figuring out if what you wrote is worth sharing, with friends, publishers, or others. Also, if writing is undertaken with the mindset that it will be peer-reviewed(which is to say mercilessly ripped apart), I think it will go very well. In my limited experience it seems that philosophical writing styles would naturally lend itself to military professional writing. That is, to make a sound and valid argument, and defend against every possible criticism.

It also wouldn't hurt to read papers written by your superiors if possible, in order to avoid unnecessary overlap or conflict.