Ownership implies both accountability and agency. In practice you often get all of the accountability, none of the agency.

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.

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.