I also think about alcohol nearly every day, 6 years in, but that's deliberate and it comes from places like this, and there is zero desire involved.
I stopped wanting it very soon after quitting, but I had a long dreadful separation process that went on for many months before that last drink, and involved a lot of negative consequences and a detox from Hell. So by the time I finally quit for good, I was pretty much done with it, it was that or die. I had chemical cravings at times, but those are involuntary and were very much unwanted - the last one of those I had was about 6 months in.