LOL that's what I was thinking too. The backflow preventer is there to protect against waste water flowing into the house from the sewer system. That can happen when there is some unusual problem, ie the municipal sewer gets flooded with rainwater, clogged, etc. Then with no backflow preventer you could have your basement fill up with sewage through floor drains, laundry sinks, or even worse, it might come out the first floor drains....
If the pipe gets clogged, then flushing a toilet with or without the backflow preventer should produce the same result.