The only thing they ask is "is anyone in your household prohibited from owning firearms". So if they are, then yes you have to tell them, but if they have a crimincal record but aren't prohibited from owning firearms then no i dont think you need to tell them that.
Hypothetically speaking your applying for your rpal and just recently found out one of your roomates has a criminal record.
Would you disclose this is your interview?
Is it even asked?