I would like to make sure I understand this correctly.

Given a Cisco ISO router that is set up with a BVI (a variation of a bridge route).. and the following layout

 "ISP router"
      \
    "Network switch" # nothing special here.
     |             \
     |              \
     |               \
     |                \
"Router 1 with NAT"    "Router 2 with BVI"

If I understand correctly.. the outside of a BVI will only respond to IP addresses that have already been claimed on the inside of the BVI... example subnet is 123.123.123.??? and servers inside the BVI on 123.123.123.10 and 123.123.123.11, and the NAT router is holding a public IP address of 123.123.123.50.

If a connection comes in to 123.123.123.10 it will be received by router 2 but if it is received on 123.123.123.50, it will be received by router 1 and not received by router 2. and if a connection comes in to 123.123.123.90 (does not exist) it will not be received by either router.

Am I correct? Is it true that the BVI router will not even receive packets to IP addresses that it does not see as existing on the inside?