They may be referring to hyperlexia (rather than hyperverbal ability):
Hyperlexic children are characterized by word-reading ability well
above what would be expected given their age. ... Some experts believe
that most children with hyperlexia, or perhaps even all of them, lie
on the autism spectrum.
But as far as verbal ability goes, since autism is a ...
Yes, this may happen with Asperger subtype of autism.
AS had already been described in 1981 by Lorna Wing, who first
proposed the term to refer to a special subgroup of children who,
according to Asperger’s original description, were characterized by:
social isolation and lack of reciprocity in social interactions;
normal or precocious language acquisition, ...