I very much agree with your conclusion that the context of words matters. Although I do think that using Beetle-in-a-box is an overkill in this situation, if not a misread of Wittgenstein. Beetle-in-a-box is supposed to show us that there is no such thing as a private language, i.e., it isn’t the case that there is a voice in your head that you just cannot find the right words to describe from existing languages. As long as we are communicating about our beetles using the same language whose grammar is pre-defined and agreed upon between us (i.e. we are in the same context, as your conclusion suggests us to do — provide context of our concepts), the object (beetle) that such language tries to describe drops out of consideration as irrelevant.

Interesting post though!