Ownership implies both accountability and agency. In practice you often get all of the accountability, none of the agency.
Ownership means just that, owning the company. The people pushing to place additional burden on workers are the actual owners (the investors and C level execs). Quite the hubris to create a fake class of "ownership" that only extends to taking responsibility and being held accountable but carries none of the benefits of actual ownership.
I almost lost a job once because I explained to the boss that only a fool would accept responsibility without authority.
The part I'd missed was that as middle management he didnt have any real authority himself... you live and you learn I guess.