Rabbits produce less airborne dander than cats or dogs and lack major allergenic salivary proteins found in other pets. Rabbit allergies are no more disruptive than other sources of allergies which are already permitted on flights. This includes allergies like:
Cat or dog dander
Peanuts
Perfume
For hay allergies (a major food source for rabbits), banning loose hay — not rabbits — solves the issue. Airlines already accommodate allergy-sensitive travelers through:
Seating separation
Pet-free rows
Notice policies