Parachuting is basically out of the question on these things. First, BASE jumping is extremely dangerous when you jump and control yourself the whole way. If you fall, you're out of control and you're not going to successfully open your parachute.
Second is even worse: This is a tower that uses guy wires, not a freestanding tower. So you fall, even if you manage to somehow miss the tower and somehow deploy your parachute, there's still a high probability that you're going to hit a guy wire on the way down.
Either way, it's a better idea to avoid the bulk and weight of a parachute (which would make it more likely for you to fall) than to think that a parachute might save you if you fall, when it's much easier to just wear a harness and avoid falling.
