Yep, basically that—any system where certain people intrinsically have more status/power than others is kyriarchal. Notably, most activism communities are still just as kyriarchal as mainstream society, except with regards to the specific issue that they’re doing activism about. (Some of them are even kyriarchal with regards to their own issue—notably disability activism, where many activists focus on getting more power for people in situations like their own without much concern for other kinds of disabilities.)
Well, “Kyrie” is generally translated as “Lord,” so a kyriarchal system is presumably one which is ruled by the people who rule it.
Yep, basically that—any system where certain people intrinsically have more status/power than others is kyriarchal. Notably, most activism communities are still just as kyriarchal as mainstream society, except with regards to the specific issue that they’re doing activism about. (Some of them are even kyriarchal with regards to their own issue—notably disability activism, where many activists focus on getting more power for people in situations like their own without much concern for other kinds of disabilities.)