We shouldn't do or say to others what we don't want others to do or say to us. From that alone, if we don't like to receive bitchy, sacarstic, hurtful remarks, then as a rule of thumb, the same shouldn't be said to others.
However, it also depends on situations, if you're bitchy to your close friends, and its a joke between both of you, and you know that there's no intent to hurt, harm whatsoever, then I don't consider it as breaking of refuge vow.
If you are bitch to someone, and hurt them, even maybe if you didn't intend it to be, then I don't know if it is considered as breaking of your refuge vows.. It depends on the severity I think. In my opinion, if being bitchy makes someone not like you, then better to refrain from it. Imagine because you are bitchy to someone, and you deter them away from a spiritual path! That would create much negative karma, no?
Anyways, it is one's practise to always be mindful of our body, speech and mind.