When you write "I'm not sure I can think of a scenario where true anger would not somehow be rooted in fear," I see that you've discovered the first step to managing anger. Accepting that fear is the cause of anger is an incredibly positive perspective, which can save you much pain and in extreme cases, your good health.

Whenever i feel my body sending me signals that anger is percolating; like blood rushing to my face, a tightening stomach, or heart palpitations, I accept that i'm experiencing the warning stress-signals which i need to address; i need to know what i'm afraid of if i'm going to resolve my fears. Avoidance rarely works unless the fears are unfounded, which is when i know that my worries are a misuse of my imagination.

So the first question i ask myself when i sense those signals is "What am i afraid of losing?" Losing face, potential humiliation, a threatened ego-generated self-perception, or the threat of losing a loved one figuratively or realistically can all generate anger. When someone we care about dies, anger is always a component of our grieving process.

I wish you well with your new-found reflective tool.

That's exactly what Emily Dickensen meant. And is often true and effective.

Anger is always fear-fuelled; fear of rejection, humiliation, loss, or anything which makes a person emote. So as you say, if we figure out what we're afraid of, we could dissipate our anger. That's the theory, but nothing is always and sometimes it takes more time, effort, or knowledge than a person has, alone.