It’s not that the statement doesn’t bear analysis, I think, or deserve it, it’s an off-putting statement that pretty much says, “I’m okay; Leave me alone, and don’t press.”
You might actually discover that there’s a good bit of sadness behind the statement, but my sense is that the respondent doesn’t want to discuss that, doesn’t want to open up the can of worms, and wants to leave things as they are. “I’m happy enough. Now stop asking, or I might tell you how I really feel – and then both of us would be unhappy.”