This (offending people) is and can be part of PTSD in acute sense like very symptomatic level BUT unfortunately if one is at this level, then one is no longer functional. I mean let me put it this way:
if you or this person can hold their tongue during work or at their profession, or at their long term employment or at school, then they have self control and they should not be letting it out at home. If they do, this is just pure and simple abuse - it is called domestic abuse and you or this person does not need PTSD diagnosis.
If however, this running mouth is ruining relationships, jobs, and general enjoyment of life and the person is really struggling because they seem to want to stop it but feel they are taken over, then that person,whoever they are, should be truly seeking help and this area should be the first focus.
IMHO, a lot of us who are here have CPTSD and that itself sort of implies our predators were also suffering from some serious mental health and that puts here. So the question is, why would anyone put themselves in the same situation that puts here? and if you are it is unfortunate and if you are noticing it, it is time to stop the vicious cycle and find peaceful people to hang out with.
Being abused does not give the right to anyone to keep going on abusing. If a person is verbally abusing you, take a serious precautions. If you are abusing others with your motor mouth, I hope you find a good therapist to cut this out.
This symptom of PTSD is not different than an acute symptom of cancer. One kills and one will make you isolated.