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Your basic equation. V2/V1 = SQRT(W2/W1) is actually inverted. the greater the weight, the greater the drag, the lower the speed. I assume this is a simple typo. The equation is a concatenation of three relationships.
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That is completely wrong, Not even close to the fundamentals of aerodynamics completely wrong.
Graham you have been away for a while. If we hold AoA constant and increase weight, speed MUST increase.
Lift has to increase to meet the amount required. If our weight goes up then our lift required also increases. Our lifting pressure has increased.
Remember our fixed relationship of Coefficients of Lift, Drag, and angle of attack. Holding angle of attack constant, we know the ratio is constant. The only way to increase the forces and maintain the same ratio of lifting pressure to dynamic pressure is raise the dynamic pressure to meet the higher lifting pressure.
Look, I can produce multiple references what I am saying. You guys have, "please believe me" and you compadre's....well, whatever the heck that is
All the best,
Crumpp