Does BB spool up faster? Yes.
Is it worth the extra $1000 to buy a BB turbo for straight line racing? No.
In events like autox, yes it does help to buy a BB turbo, since you are constantly off and on the turbo, dropping in and out of boost, it does help to get back into boost ASAP before the next corner. However, in straight line racing, yes the BB will spool a bit faster, but thanks to things like anti-lag and keeping the revs up, you pretty much are in constant boost the whole time down the track. You are able to leave the line in boost, and keep the car in boost as long as you keep the revs up beyond the rpm in which you make max boost (for me this is 5000rpm @ 22psi).
Yes BB does spool up faster, but it is not as great as everyone makes it seem and does not help you that much in straight line racing. In Aaron's case, he wants to go fast in a straight line, and $1000 is better spent elsewhere than on a BB cartridge.