I have not been to rehab but I have heard from countless people here who have and I surely do not have the impression of it that you do.
I also remember my early weeks of recovery and the last thing I was looking for was a social gathering of any kind.
I would however, have greatly appreciated contact phone numbers from people who could offer me support.
Please keep in mind that alcoholism is not a character flaw. It's a disease. And, those of us who recover, work long and hard to do so.