Tbh i see it quite differently, Conte was mature in the way he approached the matter and called out Mourinho for what he is, which is a little man that suffers of senile dementia, despite being a great coach an' all his character is above disgusting and really went too far with this one.
You cant expect Antonio to allow a moron to publicly talk crap about him without handing him a proper response, afterall he has to clear his image especially as those comments came for no reason whatsoever other than nowadays Jose being an cocky immature looser with obvious mental issues...