We, by nature, are either selfish or caring. The selfish person will see freedom through the individual lenses, the caring person will see it as a community or maybe even global responsibility, as you've remarked very well.

A parable about selfish thinking that suites well to how individual freedom looks like: a man has an apartment in a block. His apartment looks awesome, just as he wanted to, and he has a great family too. Downstairs an expensive car awaits for him and he has the job he wished for. Except... the block he stays in is old, every utility breaks often, and at any earth quake it can go down. Yet the man is happy and doesn't care about what's going on around his apartment. In his apartment he is free from the outside world.