What is ‘cis privilege’?

I agree with you entirely. Absolute bullshit.

The concept of cis privilege doesn't even warrant serious scrutiny - unless you subscribe to the idea that women ('cis women') are a subgroup of a category called women.

It's a term which is used to shut women down.

I have MH problems. I have had MH problems for over 20 years now. I don't go round shouting at others saying that they have 'neurotypical privilege'.

It's a scientific term which has been co-opted and abused to the Nth degree. I would have had some sympathy with those using it genuinely, but since being told repeatedly that miscarriage, abortion and menstruation are all 'cis privilege' I'm afraid my well has run dry.

Cis (and I really am not a fan of that term) women and men have the privelege of not having the emotional turmoil of questioning their gender identity, discrimination and bad treatment from society if they try to present in ways traditionally associated with the opposite sex.

The fact that women are disadvantaged compared to men has nothing to do with whether or not they have cis privelege. That sounds similar to arguing that women can't be disadvantaged because white women have it so much better in many ways than black men. Have a read about intersectionality.

I'm as gender critical as anyone and I think that 'cis privelege' is very much used as a tool to shut down women who raise valid concerns, but that doesn't mean that it doesn't exist.

I get annoyed with all the TRA stuff, but I think we should be consistent here. White privilege, male privilege are all examples where we recognise that if we are white, or male, our lives are on balance a little easier. If someone does have gender dysphoria, equally, all things being considered, that makes their life a little more difficult.

The privilege is that we don’t have a mismatch of our gender and sex. Where that leaves you if like me you don’t think gender is anything other than a social construct, I don’t know.

There is no such thing as 'cis' privilege. I loathe that word, I am a woman, a female. No need for further qualifiers. My opinion about this cis privilege is that from a view of a man, we are privileged - we get male attention (TW may not, or not get female attention either), we have things they don't have, periods, uteruses, etc; we are free to wear trousers, skirts, makeup, no makeup - from the outside looking in, being a woman looks better perhaps. Also, a man transitioning to a woman, will experience an appearance of a loss of privilege, women are treated worse. That case in the US of the transexual who now pays more for car insurance - cue massive uproar because it is trans discrimination. No, actually it is sex discrimination that he experienced. So when they have this idea of how good a woman gets it, and they don't get treated that way, that is how we are privileged and they are not.
That's my twopennyworth anyway.

Your last sentence pretty much nails it.