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If your visa states no recourse to public funds, you should not receive public funds doing so may lead to a curtailment of your visa or a refusal under the general grounds for refusal. Under a spousal visa, you are prohibited from receiving public funds including child benefit
You need to seek offline legal advice to assess your case on its merit. I cannot say for definite whether or your husband's application will be refused. All I can say is that there is a risk. This concludes my answers. Please rate.