Won’t a child miss out on all the social skills that traditional schools impart?

In our opinion traditional schools do not necessarily impart social skills. Merely being in a class with  age children does not imply social skills.
Open Learners choose their social relationships, which often span across different age groups. These could be based on who is near me and accessible – neighbours, relatives, family friends etc. Or these could be based on common interest (say a 12 year old playing chess with a 72 year old).