The building is a symbol, as is the act of destroying it. Symbols are given power by people. Alone, a symbol is meaningless, but with enough people, blowing up a building can change the world.
People need dramatic examples to shake them out of apathy and I can’t do that as Bruce Wayne. As a man, I’m flesh and blood, I can be ignored, I can be destroyed, but as a symbol… as a symbol I can be incorruptible, I can be everlasting.
The idea was to be a symbol. Batman could be anybody. That was the point.