@Jacques, I don't think anyone above is arguing against the idea that in many, if not most, cases the naoshi process will mean the kaeri is lost. The rule of thumb is likely that one identifying feature of a naginata-naoshi is the fact the boshi is yakizume. However, what I think is being pointed out is this is not inevitable or universal, as there are examples showing exceptions to the rule. That is, blades that have been determined to be naginata-naoshi by a panel of experts with the blade in hand showing an (admittedly) small kaeri.
Can I tell you what the process is that leads to this? Not in any meaningful way (we're both well aware of my very limited knowledge base), though my hypothesis would be this is likely possible based in the exact shape and geometry of the original blade, which could vary significantly while still being a naginata. But I would certainly defer to the opinion of the experts with blade in hand in saying clearly it is possible.