If I were calling about a reference and heard this story related, I’d say to myself “great, so they’re willing to ask probing questions to clarify requirements.”
That could save weeks of work on some projects, and I’m not so desperate for clients that I’d want to work with one who would walk over a simple request for clarification.
If they’re buying this, they’re taking care of their kid. Why else would they be buying a diaper bag?