出于考虑 vs。 基于考虑 。 Do Taiwanese say 基于？
In my view,

"出於" and "基於" are slightly different from each other.

出於: When you are doing something for the sake of a specific group of person. 
You may also use it when you want to express somehow positive or negative things.

基於: It is more formal and neutral. Therefore, use it when you are doing so for official reasons, or when you are not caring a specific group of person. 
You should also use it when you want to keep a neutral stance.

For example: 
出于对妻子身体的考虑，他在乡间买了所房子。 
You are caring your wife, which you are expressing positive attitude(I think), so you use 出于.

基于保安理由，需要保密。
You are doing it for official reasons, without expressing any feeling inside, so you use 基于.