We are Orthodox. To us making the sign of the cross is a symbol of aligning ourself with Christ. I do it when I am alone and hear a or see an emergency vehicle as a short prayer. It is a prayer for whatever distress is happening. If praying for someone offends someone I think they might want to rethink their attitude.
I feel bad that you and others immediately felt compelled to defend and justify because of a 'simple' question.
Kent
I just intended to say that is why and how I do it.