Response-ability. The ability to respond. Which you have, if you want it or not, for anything and everything you can respond to.
You see children on the streets getting beat up? Your response-ability. You see someone throwing garbage to the ground? Your response-ability.
What you DO with it, whether you act on it, or you deny to have it, doesn’t matter. It is purely the ability, the capacity to. And not responding is also a response. We typically share response-abilities with others around us who are similarly capable. Ownership doesn’t inherently come with increased response-ability. Power does.
Maybe you are confusing responsibility with (legal) liability?
See also: Duty to rescue https://en.wikipedia.org/wiki/Duty_to_rescue - at least as applied and lived in EU, LatAm, Africa; and some US states on paper