My employer is happy that I am in recovery and in AA.
I am a lawyer and I have been active in my state's lawyer assistance program (chairman) and lawyers in recovery, so it is not a stretch for anyone (who didn't get the opportunity to see me drunk when I did that every night for 13 years) to deduce that I am in recovery.
I was a "public drunk" when I drank, and my absence in the bars that I went to every night was noted when I got sober.
Other peoples' knowledge may vary on this issue, which is why anonymity is an option.
Some people work in a dog eat dog environment in which others may try to use the fact we are in recovery against us or even lie about whether we are sober.