According to one definition of communication, you are absolutely right. There are other ways of defining it.

You define it as requiring intent. Fair.

I can formulate just as valid of a definition of communication without intent. The way you dress communicates certain things about you, whether you intend to do so or not. My pheromones communicate a lot of things about me, even though I don't intend them to do so.

Again, it's not so simple unless you use a single narrow definition and forcefully ignore all other ones (some of which are easier to accept than others).