The medical symbol of the staff with the snake is only supposed to have 1 (one) snake on it. A staff with 1 snake is the Rod of Asclepius (the son of Apollo and Greek demigod of medicine), a staff with 2 snakes is a Caduceus which is carried by Hermes as a messenger or herald.
Physicians get 1 snake. Couriers and heralds get 2 snakes. Any medical professional or organization that uses 2 snakes is wrong and needs to go study the humanities and classics for a bit.
It hurts my soul that this is actually a good addition.