  K{\"u}chle classified the Fano fourfolds that can be obtained as zero loci of
global sections of homogeneous vector bundles on Grassmannians. Surprisingly,
his classification exhibits two families of fourfolds with the same discrete
invariants. Kuznetsov asked whether these two types of fourfolds are
deformation equivalent. We show that the answer is positive in a very strong
sense, since the two families are in fact the same! This phenomenon happens in
higher dimension as well.
