That is an elegantly simple approach. If it fits the location anyway.
BTW I didn't invent this technique, I saw it on Nova, and the scientists applied it to several beaver dams in Canada to keep spillways and roads clear in whatever Canadians call National Parks.
And yes they did the trick with a simulated water leak using a portable PA system, the beavers were filmed during the night trying in vain to fix the speaker system leak, poor little guys.
In the Nova documentary they used the submersed flex pipe with the cage on the end in a dozen different types of locations. The worst case scenario the beavers spent a great deal of time under water trying to figure out where the leak they could hear was. With the inlet so far from the sound of the water going into the culvert, or outlet pipe they could not figure it out.
At times the beavers did find the water flowing into the cage of interest, but they were unable to get branches to stick to the cage under water.
I don't have any first hand experience with this technique, because I assume the farmers here are too quick with the gun solution.