This is an old revision of the document!
It's not supposed to. The operation of a bridge is (supposed to be) fully transparent to the network, the networks that a bridge connects together are actually to be viewed as one big network. That's why the bridge does not show up in traceroute; the packets do not feel like they are crossing a subnet boundary.
For more information on this, read a book about TCP/IP networking.
It says: “br_add_bridge: bad address” when I try to add a bridge!
Either your kernel is old (2.2 or earlier), or you forgot to configure Ethernet bridging into your kernel.