In high school like twenty years ago, we actually did a simple experiment demonstrating sound cancellation like this with simply speakers facing each other with polarity reversed. That surprisingly works well enough to definitely notice it working, when you are positioned in the right place, which is pretty cool.

It also works well enough to see it doesn't really do what you are describing. The energy from negative copy sound waves is being used to cancel out the original sound waves, the better it's working the less energy there is going to sound waves "escaping" to be heard anywhere else.