You just denounced what your company stands for. Sure, companies have commercial goal but they also stand for certain mission, goal and they have culture. By making statements as a leader you just said we don't really believe in company and our goal should be just to take care of each other as if we are some prisoners on ship. If you and your team really felt like that then you guys should be getting hell out of there.
I disagree with you, do you genuinely believe your company cares for you personally. I work in telecoms, and there are over 15k staff. On a scale like this no one knows who you are except your manager and maybe theirs. That's it. And are you the priority, i highly doubt it. Oh they'd notice if you left but wouldn't care unless it meant work piled up and resulted in negativity and failure of service to customers.
