I personally don't think it has anything to do with them being more concerned about what people think, because the lack of information isn't just personal information, it's everyday general information that could really aid in helping to locate Andrea. As mentioned in posts above how hard would it be to say: Andrea went missing from X address @ date/time, she was walking n/s/e/w on X street towards X direction. It was indicated that she was headed to the area of X. Andrea has X tattoos, she was taking X medication, she frequented X, X, & X areas/places, etc.
From what I've seen the Finding Andrea page had a lot of incorrect information. The telephone numbers for the tip line were cut off/missing/incorrect. There were discrepancies with the last time she was seen/went missing. The photos originally used were made up, when she seemed to weigh less. When the public asked for more current photos they were basically told that the photos that are on the flyers are the only photos available of her. (Then the weird photo of her appeared) No one is saying that there's a need to go into great detail about her personal life, but at least be clear and accurate in the information that you're providing people that are trying to help you locate a missing person.
In MOO it seems that these things (inaccurate/missing information) are almost done purposely. It's been stated that Andrea and her sister were in a fight prior to Andrea becoming missing. If her sister wants her to know how much she's loved and is concerned about what the public thinks, why not release a statement along the lines of "My sister and I had a fight prior to her becoming missing in regards to a disagreement on life choices. I said some things that I shouldn't have said, which I deeply apologize for. If you can hear me, I just want you to know....Please keep your eye out for Andrea. Andrea, please come home." You don't necessarily have to get into the nitty-gritty of it. I find it strange that there were posts on the Missing Andrea page regarding how much Andrea needs to know she's loved, even by those she doesn't even know. I haven't seen her sister publicly acknowledge or apologize for the fight. If they thought it was that important for Andrea to know she is loved, wouldn't you just publicly apologize to bring her home?