The trouble with defense in depth is that you have to admit your existing defenses may be inadequate. I can see how that could be politically difficult in a large organization.
Even for a less-than-large organization, there are issues.
One is the perceived fear of looking incompetent in front of your users/clients. For which I feel the appropriate response is "we'll look a lot more competent if we mitigate the risks of such an event than if we don't, regardless of whether or not it happens".
But really, the big one is simply: can you justify the engineering/product cost of this change on the basis of a material business benefit to us and our clients?