I dunno whether I'd call mine a whistle but I have a belt that has made a noise since the day I got it. Lube stick fixes it for about 7000ks then it's back to normal.
I to have slight whistle on start up, well it's more than just at start up, it's until the engine is warmish. Does sound like a turbo whistle but only audiable on very light throttle or even overun (off throttle)