Does weight distribution affect angular velocity?

Yes, it will affect angular velocity since different mass distribution have different moment of inertia $I$ in general. The effect of torque $tau$ on the angular velocity $omega$ of the object is given by $$tau=frac{d}{dt}(Iomega)$$

The moment of inertia of a point mass is given by $I=mr^2$, so in your case, the radius differ by 10 time so moment of inertia differ by 100 times and so does the angular velocity. Note that when you mention torque, you dont necessary need to specify which point it acts on.