Andrew,
An interesting question. I imagine a museum curator could give a more exhaustive response as to what morphologically constitutes any "normal" owl, and I read your "normal" as being "typical" owl (sensu strictu). I think the original generic name Otus, in which all of the so-called Scops-owls, or those in the New World, called Screech-owls were originally placed was, and to some extent, still is a catch-all grouping not originally defined by strict morphological features other than that of that derived from the Greek: Scops = the little horned owl. In light of recent mtDNA hybridization analyses some of these "typical" owls (i.e. in Strigidae) are being redefined and put into other genera. To wit, the recent redefinition of the former (African) White-faced Scops-Owl being renamed in the common name and being placed in a new genus (by some) - Ptilopsis. The so-called New World Screech-owls, once in Otus, have been recollocated, based more on their distribution, than on any real morphological bases and placed in new genus Megascops, at least on the SM and Clement's classification. Others formerly in Otus have been differentiated and placed in other genera previously, such as Pyrroglaux and Gymnoglaux. So, all in all, the original collocation of all these owls in genus Otus, was by convention, and they are now all being re-examined.
Don't know if this helps or not.