Here’s how I’m thinking of approaching this.
Nice thought, but I believe it's more complicated that that. This type of bass trap works by sending a canceling wave back toward the oncoming source. So at the minimum you need to reverse the polarity somewhere along the way.
There's also a fundamental problem with this type of trap. I've never tested the Bag End E-Trap, but as far as I can tell it has some of the same problems as room EQ. For an absorber to be effective it must be suitably large. Room treatment is all about surface coverage, so if a room has, say, 800 square feet of surface area, you need to cover some meaningful percentage of that surface. If you stick a small loudspeaker-based bass trap in one corner, it won't do much even if its absorption is 100 percent because it's just too small.
To solve this, the active circuitry is set up to offer
more than 100 percent absorption. A device like the Bag End works by playing a countering signal into the room. If 100 percent countering isn't enough, it can be set to more than 100 percent. But then the improvement becomes localized where the test microphone was placed. So a large resonating peak will be reduced at that location, but likely made worse elsewhere.
Again, I haven't had the opportunity to actually test the Bag End trap, but simple physics suggests this is what would have to happen.
--Ethan