Donabed - I don't think so.
As far as I know, there is no such thing as factory installed tint.
Did the window sticker mention tint, or was there a small add-on sticker next to it that mentioned added tint?
Typically, this is something that the dealership adds onto the car as a service (and a moneymaker - for example, they might charge you $400 for a tint job that would cost you $200 if you took the car to the tint shop yourself (and that costs the dealer $100 or $150 per car).
If you took the car to the tint shop yourself, you should select a reputable (been in business over 10 years) shop with a lifetime warranty.
Unless you hear otherwise - I would expect your warranty (if there is ANY warranty at all) in this case would be through the selling dealership only.
I had a similar issue with an aftermarket rear seat DVD player in an Expedition we bought. The dealer installed it and they verbally said they (not Ford) would cover it under the extended warranty I bought, but it wasn't ever written into the paperwork, and when it failed, the company (Rosen) that made it had discontinued that model and none of the people I dealt with at the dealership was still there. They managed to find a local shop that had the part that had failed (and was glad to get rid of a 5-year old screen that had been sitting on the shelf), and after that they did take my word for it and pay for the replacement - but if the whole system needed to be replaced, it could have gotten ugly.