I think it is also possible to just acknowledge the emotions in the heat of the moment, "process" them quickly as unproductive for the situation, and let them go their way.

Like the grandparent comment, I agree that this naturally requires training and effort. I also find that to be a more constructive way than to "suppress" your impulses/emotions for an unpacking later. Not saying you were necessarily directly advocating for that, just something that your comment made me think.