Here's the straight answer. Somebody stop me if it seems that I'm turning into professor Nick. Lol. I'm not an authority on Blasters by any means, but I love sharing what I know...
A boost bottle is a small canteen or bottle mounted on the intake boot of a 2-stroke engine. It acts like a 'catch can' for un-burned fuel. See, when a 2-stroke engine accelerates, it's demand for fuel obviously increases. However, when you let off the throttle, this thirst for fuel is suddenly quenched. The 'signal' to the carbuetor is altered, and the carb. backs off on fuel delivery. In the milliseconds after the throttle snaps shut, though, some unburned fuel splashes back from the crankcase of the engine. Usually, this splashed-back fuel returns to the carbuertor, which doesn't hurt anything. But, this partially-vaporized fuel lingering in the throat of the carbuetor has to go back into the engine when the throttle opens once more. It does, along with the incoming fresh charge from the carburetor. Too much gas, all at once.
Fuel splashback has been said to cause a momentary hesitation upon sudden acceleration when you are riding. It is this 'issue' that a boost bottle seeks to address. The theory being that splashed-back fuel goes into the boost bottle instead of the carbuetor. It is supposedly stored there until needed, and then drips back into the intake during the next drop in pressure. Sounds good. Boost bottles are therefore advertised as increasing throttle response. Do they work? Maybe. They don't increase HP (sorry, no NOS here !X( ). They don't improve reliability. Does a boost bottle increase throttle response? Some will say so. They may work to some degree, but... How many racers do you see with BB's? Exactly. If it doesn't work for the pros, it's a gimmick in my book.
I'd rather put the $ 30 - $ 50 cost of a boost bottle towards a set of race-proven VF3 reeds. Installing a boost bottle on a Blaster will require you to cut a hole in your stock intake boot. Do - able? Sure? But, do you really want to create another potential engine-wrecking air leak by making this cut? I don't.