It does beg the question, however...
The eye of a hurricane is essentially where all of the condensed cool air rushes back to sea level after it has risen to extreme altitude as warm, wet air. The center of the hurricane is essential to maintaining the perpetual motion machine that the storm has become.
A sufficiently large bomb airburst in the eye of a hurricane, it would seem, could disrupt this system by causing the cool central eye to become a superheated column of rising air.
I'm sure it's more complex than that or a Cat 5 headed toward a major population center would almost certainly justify a violation of the nuclear test ban treaty. ;)
Sure - that'll work.
The key is in the words "sufficiently large".
Air in cyclones rises. If the air were coming back to the surface of the water in the eye, where does it go when it reaches sea level? It can't go out because that's where the eyewall is. What maintains the hurricane is the heat energy absorbed from the surrounding sea water that is at a temp of 80 F or greater. This extends out hundreds of miles on all sides of the hurricane. The only way a hurricane is diffused is by it nearing land, which cuts off its source of fuel from that side, or going over water that is less that 80 degrees. It's a self perpetuating system only as long as the conditions are right, This is why The Day After Tomorrow is so totally unbelievable. Storms like that cannot survive over land and the storm does not suck cold air down from aloft.