Yup.
Here's some simple math for you, TruthSeeker1234. Each tower had on the order of 1012 Joules of energy. Suppose we model it as all kinetic energy, e.g. m v2.
In the "Free Fall" case, we know it takes about 10 seconds to totally collapse.
In what actually happened, it took about 15 seconds. So the velocity here is 10 seconds / 15 seconds = roughly 66% of what it would have been in freefall. Mass stays the same, and we have a lower velocity.
Using these new numbers, the undissipated kinetic energy of the real case is m (66% v)2 or 0.44 x m v2. That leaves 0.56 x m v2 available for deformation, or 56%.
That is to say, by slowing it down just five seconds, we have expended OVER HALF of the energy on the way down. That's 5 x 1011 Joules. Or, in layman's terms, a metric crapload of energy.
Now do you get it? The "near freefall" thing is just a canard. Delaying only a slight amount means dissipation of tremendous amounts of energy, giving rise to precisely what we all saw.
Disclaimer: This analysis is overly simplistic, but you get the point. In actual fact the 10 second freefall is too high, since the tower was not a point mass suspended at the top. Thus the fraction of energy available for destruction is, in reality, even higher than 56%.