I'm one of the users who felt personally hurt and betrayed by the company's recent actions. I have suspended moderation activities for a few days now, and today I was just about convinced that I could no longer act as a moderator in good conscience. I no longer wanted to be associated with SE, the company. You just changed my mind.
This is exactly what I had been hoping to see: a message written by one group of humans earnestly trying to communicate with another. This isn't the impersonal corporatespeak we've received in the past. This is an actual apology. You admit you dropped the ball and you are promising to do better. You are describing concrete actions you plan to take in the future. I do believe you mean this and I honestly hope you will succeed.
In any case, I wanted to thank you for posting this. It has restored at least some of my faith in SE as a company and lets me continue to believe that the values this place was built on are still alive in the heart of SE.
So thank you. For what it's worth, you have made me, at least, feel better than I have in almost two weeks.
#THANK YOU!
THANK YOU!
Update
Sadly, the days go by and you still haven't issued any sort of retraction or public apology for dragging the name of one of your users through the mud and making her a target. I'm still happy you at least issued a human apology, but there's a lot more work to do.