Not Peter Roberts nor a lawyer, but: Why don't you just say "I'm Singaporean, so I'm not sure I would need to apply", and give a link to some article which describes the special visa eligibility for Singaporeans? Also note that H-1B1 is just one kind of visa, and there are many others - for which you likely would need to apply.
It's not fine to say No because even though you might qualify for the H-1B1 visa, this requires employer sponsorship; the H-1B1 visa is to work for a specific employer.
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