I would call your local shelters and ask if they truthfully even check rabbits. I asked the same question to the sanctuary that I got my buns from and they said it probably won't help as the shelters around us don't check rabbits. They just assume that they were dumped because it happens so often.
I was considering the same thing, but decided against it because if they don't check, what's the point? However, it might different if your area is a little more "bunny" friendly. If they are going in for a neuter anyway, it's better safe than sorry, but it's ultimately your decision. Hope I helped!