Which is exactly my point. Under normal circumstances you inexorably move towards the future. But we generally believe we have freedom of action about the spati

Which is exactly my point. Under normal circumstances you inexorably move towards the future. But we generally believe we have freedom of action about the spatial coordinates. A black hole is interesting because you inexorably move towards the singularity - which is a defined location in spacetime, and also has a boundary - the event horizon. So now your freedom of action is reduced: you must move towards the singularity, but you also can't actually move outside of the event horizon either.