Glad to hear your timing belt issue was handled well! I am on my first Infiniti after years of driving Mercedes, Lexus, and Lincoln vehicles and I'm really hoping things go well with my QX.
To the poster with the YouTube video- thanks for posting the video of the sound your truck makes.
I was concerned based on the description that was given earlier of the sound. The sound from your video does NOT match what my 2011 QX (65K miles) makes during startup once in a while.
My truck sometimes makes a loud "WOOOSHH" fan/blower sound at start-up and it lasts for a few seconds and then dissipates. It almost sounds like when you enter an air conditioned building and they have one of those over the door air blowers installed to keep the cold air from escaping.
Since it happens infrequently and only lasts a few seconds I don't really give it much thought.
I service my truck religiously at the dealer and have the extended warranty so I'll be covered in case of any mishaps -- but I'm hoping this truck lasts at LEAST to 100K plus miles without any major headaches. With proper service and care, it really should.