That's all fine, and I believe you installed a much better BB. But to say the effect is better acceleration like having better wheels isn't reasonable. Compare the power required to turn a crank (no chain attached) with your hand and to accelerate a bike from standing still. Is there any way the two could be comparable. That improving the BB could affect the feel of accelerating from a standing start just isn't reasonable.

Thing is, you don't need an excuse to put in a better BB. It justifies itself. But claiming some impossible effect from it isn't right.