You're certainly going to hear 40KHz beating against 39KHz, though, if both sources are pumping out tens of Watts.
Heck, you might manage to make really odd results by sitting between identical frequency 40KHz transmitters and moving your head to create a bit of opposing Doppler shift in each direction.
High power ultrasound - it's really not benign stuff... But hey, fsck the expertsnaysayers, she's got a 'great idea' and a pile of funding.