There seems to be a common misunderstanding that you are not supposed to use your arms when dancing tango.
That is wrong on so many levels. I can see where it comes from, as it is a common mistake among beginners to do try leading with their hands, and not using the rest of their bodies. But one thing is to make point to beginners and quite another to elevate it to a universal truth. Yes, it is possible to lead and follow without using your arms and hands. So what? It is possible to lead and follow with no physical contact, too. It just isn’t what I would think of as tango.
Remember the homenaje a los milongueros? “The milongueros are soft and precise in their lead, using their entire body to lead” Last time I checked, both arms and hands were part of the body, at least it is still true for me.
Also, you know what the spanish word for embrace is? Abrazo. Ever thought about what brazo means? ( It means arm.)