I suspect that Vne is more often determined by the
torsional resistance
of the wing. That's certainly the case for an ASW-20.
You suspect incorrectly. The faster you fly, the more
lift the wing is generating,

...._at_a_constant_angle_of_attack_. Fortunately, we have this nice
device called "elevator" and can change angle of attack.

Vne is limited by flutter speed. I am not entirely sure, but I think
there is strict dependence between Vne and the theoretical speed when
flutter should occur.

Bartek