The argument doesn't hold water. The claim is that intersex is fairly common, around 2%, roughly the same as the incidence of red hair. There are various types of intersex conditions, therefore sex is a spectrum.
So that my reasoning is clear, the definition in biology of males is: of the sex that produces sperm, and females: of the sex that produces eggs.
There are NO other gametes in humans. There has never been a reported case of one human producing both sperm and eggs.
The name intersex might imply "somewhere between the two sexes", but this isn't true. Intersex it is a collection of medical conditions where the sexual organs don't grow in a typical way.
It may affect fertility, but in cases where gametes are produced, the affected people produce either eggs or sperm (to repeat myself: never both, and never something in between), so individuals can be readily identified as male or female (even if genitalia ambiguous at birth and some opposite sex secondary sexual characteristics develop at puberty). This includes:
Late onset congenital adrenal hyperplasia
Classical congenital adrenal hyperplasia
Klinefelter syndrome
Vaginal agenesis
Hypospadia
5 - alpha reductase deficiency
These conditions combined account for 97% of all intersex cases.
I don't know how sex is determined in complete gonadal dysgenesis, androgen insensitivity syndrome, ovotestis, in people who are not XX and not XY, and people intersex people for idiopathic or iatrogenic reasons, but as AFAIK, affected individuals are identified as either male or female. And even if it is so ambiguous that an expert is needed, these cases are so rare (0.06% of births combined) it is not appropriate to say that they are part of a spectrum.
Source data: www.isna.org/faq/frequency