Like how cis, trans, iso, etc. has gender modality / sex modality. It's like gender/sex modality in that it describes a specific relation to gender/sex, but unlike gender/sex modality, it's not about correspondence/transitioning and is just what a person is born with. And, typically anyways, those modalities aren't genders/sexes in it of themselves, like man/woman/nonbinary/etc. would be the actual gender, and cis/trans/iso/etc. is the relationship to said gender, but intersex/perisex kinda(?) are sexes.

Terms that fit, I guess, from what I know:

Sex characteristics (link): some jurisdictions use this term over just "sex" to encompass the legal protections intersex people have geolocally. For example, the term sex-based discrimination typically refer to sexism or misogyny, whereas sentences using this term, such as 'discrimination due to sex characteristics', could emphasize the inclusion of intersexism;

Sex traits ([w]; [x]; [y]; [z]): this is an alternative to sex characteristics

The term variations also appear, however, the term variations in sex characteristics (VSC) implies it refers to variance, so dyadic wouldn't be included. However, the terms "endosex variations" and "perisex variations" are in use by some.

Sexness/sexedness or sexuation/sexuatedness (from intersexness and intersexuation, meaning intersexedness) could be a thing, however they are mostly about the (cap)ability to reproduce sexually (sexedly)/sexedliness.

I'm not sure if people used the term "sex alignment" but this could also refer to multiple things contextually.

Sex identity is also used, however many would not see intersexness as solely identitary.

Edit: @queercripintersex reblogged with: Pretty sure I've seen "intersex status" used for this and depending on context may be a good option