And you are correct in pointing out my error as well. I meant if the higher-order saddle is a thermodynamically-feasible structure when I typed that, but either way I now see that more than one imaginary mode in the case of an asymmetric structure just signifies that the structure is not a stationary point on the surface...
Ruslan M. Minyaev, Ilya V. Getmanskii, W.Quapp: Russ. J. Phys. Chem., tom 78, No 8 (2004), 1-6 (in russian), english version in vol. 78, No 9 (2004) p. 1494-1498,
"Ab initio Study of the NH_3...H_2 Complex -- First Saddle Point of Index Two on a Reaction Path"