I'm not up to date on terminology to do with two-factor authentication, but shouldn't it be "currently possess" rather than "own" the resource or device in ques

I'm not up to date on terminology to do with two-factor authentication, but shouldn't it be "currently possess" rather than "own" the resource or device in question? It is important to remember what can go wrong and invalidate the assumptions of the protocol, e.g. theft or duress.