Yes, it's to be expected that your beast in going to really kick it up a notch after making your BP. This means it's death, so yeah...it's p*ssed off to say the least. AV blaring...look at it as a last ditch effort.
In answer to your question, Yes, the AV does eventually shut up. It's been a long time between me and alcohol and although I believe we never fully rid ourselves of desire, my beast knows her place. My beast is so shriveled any activity is really and truly negligible.
Continue on. You got this.