No, and there isn't a problem running 200F IATs, within a power range that the engine and octane gasoline can deal with.
And, Colder = denser, yes. This not being a perfect world, you offset any loss in airmass by raising the boost.
Here's my perspective that I don't think you're getting, or I'm not communicating effectively. The accompanying oxidizer is the problem with using nitrous to "cool" IATs. What the IATs drop to has nothing to do with the thermal assraping that takes place in the combustion chamber on boost + nitrous gasoline setups, and any extra airmass ingested due to cooler/denser intke charge is an icecube compared to an iceberg in the scale of things. All nitrous + boost does is rip tires free and the engine doesn't last as long. Great for dyno numbers, and as an academic tuning exercise, but fuck doing it in the real world.