Holy crap dude, yeah I don't think you're gona encounter any flash floods this saturday, damn that sux, sorry but that's a little comical, I mean what are the odds.
And colder air doesn't make the turbo spool faster, it's a bigger header/downpipe/bigger catback system that makes it spool faster. The exhaust is what drives a turbo limited by the wastegate, more exhaust flow faster turbo spool. Turbos usually spin around 150 thousand rpm, inside in the opposing chamber the cold air thats getting sucked in through the cai is compressed, then it's pushed through the intercooler which now becomes even denser then it goes right into the engine in a nutshell. The exhaust port and fresh air ports completely separate, the exhaust is the driving force of the turbo, which can be more or less depending on your setup, bigger cai, downpipe, turbo intake. A cold air intake is basically allowing a turbo to suck in more air as it's spining, this creates more pressure since the air is denser, there's more, etc... Plus more air going in means more air going out. I hope that answers your question, yeah a cai is a must for any turbo it's the starting block I think for any upgrade.