Should I have whacked this coach?

[Kansas Ref]

It is great that you aim to "improve coach communications" as you stated; however, that sitch does not provide a best paradigm in which to do so mainly because it required you to adjudicate a situation [i.e., the sets of disdainful remarks by A and B Coaches] that can never be prevented from re- occuring--despite the rightousness of said call. Those coaches have "learned on their part" that you are not a ref to be taken umbrage with--in essence communicating via T. Yet, given the value of your aim to become better, may I ask you: I thought B Coach's remark was more acerbic despite him just saying 'one' remark as compared to two; what are your fundamental criteria for imposing a T?