Memory Alpha says a Borg Cube contains upwards of 129,000 drones. If a hand full of the crew on the opposing ship could resist the collective mental weight of that many drones, how quickly could they react before they were overrun by numbers?
But not all of the drones on a cube would be Betazoid, of course. And a physical ability like mind control/influence would not be able to be shared among the collective (it depends on Betazoid physiology).