When the LEA make enquiries about home ed they do like you to show that your children are being given opportunities to socialise. What they would expect obviously varies depending on age and any SEN etc but currently they wouldn’t be able to say anything, the girls don’t have the opportunity to socialise at all.
I would imagine Sarah is aware of this as it would have been asked about and they probably said they were looking into groups as they were new to the area at the time.