as Christopher Nolan has stressed to us, that's not the same thing
is going to get you some arguments. ^.^
But as for your actual question, the balcony scene only is ambiguous if it's clear Jason had the state of mind to do something like that. That bent toward the Punisher state of mind seems totally consistent to me in both takes.
Which does provoke a musing or two. Had Jason survived, would Bruce have been able to dial him back the way Babs did for Helena?