If we're going to talk physics, we should talk physics. Feel free to pick it to pieces. Let's start with
Sum Forces = ma.
Taking up as positive, on the forces side we have F(resistance) - mg, and on the negative side ma. Your claim is that F(resistance) changes, so we take some derivatives
dF/dt -m(dg/dt)-g(dm/dt)=m(da/dt)+a(dm/dt)
Now, we can take dg/dt = 0, since the change of g isn't much in the height of the WTC. You contention is that da/dt is also =0 since a is constant at some value less than g.
dF/dt = g(dm/dt) + a(dm/dt) = (g+a)(dm/dt)
Now a is known to be negative (lets call it A as our working value), since we took up as positive, and A is less than g, so we have
dF/dt = (g-A)(dm/dt)
Your contention is that an increase in F (positive dF/dt) HAS to result in an increase in A, however we see that if the mass is changing as it falls (dm/dt is not zero), then it is possible to have an increase in F with constant acceleration. Most of us think the falling mass increases as it progresses. How about you?