@mart_brooks
Depends on what you define as intersex. According to https://www.tandfonline.com/doi/abs/10.1080/00224490209552139 Klinefelter and Turner do not count as intersex which is defined as (a) the phenotype is not classifiable as either male or female, or (b) chromosomal sex is inconsistent with phenotypic sex.

For Klinefelter both the chromosomal sex and the phenotypic sex are male. Same goes for Turner but female:

> Klinefelter syndrome. Babies born with Klinefelter syn- drome (47,XXY) have normal male genitalia. Male sec- ondary sexual characteristics develop normally in puberty, although the testicles typically are small. Erection and ejaculation are not impaired. Most men with Klinefelter syndrome are infertile, but an unknown proportion are fer- tile (Warburg, 1963). Because Klinefelter syndrome is most often discovered in the course of infertility evalua- tion, fertile men with Klinefelter syndrome are likely to go completely undetected. Abramsky and Chappie (1997) have suggested that many men with Klinefelter syndrome are never diagnosed because they are phenotypically indis- tinguishable from normal (46,XY) men.

> Turner syndrome. Among the most salient features of Turner syndrome (45,X) are infertility and short stature: Women with Turner syndrome who are not treated with growth hormone typically will be about 16 centimeters shorter than their predicted adult height based on parental heights (Holl, Kunze, Etzrodt, Teller, & Heinze, 1994). [...] Girls with Turner syndrome do not have ambiguous external genitalia (e.g., no clitoromegaly), nor do they typically experience confusion regarding their sexual identity. "A consistent feature documented in Turner's syndrome is the unambiguous identification with the female sex," according to a recent review in The Lancet (Ranke & Saenger, 2001, p. 310).

@Raccoon