No it does not get the car warmed up faster, just the intake air to the combustion chamber.

To my way of thinking, that hose being absent risks Volvo's ability to meet air quality specs during the first minute of warm-up after starting. In some states it may also risk your visual emissions inspection, but not the measurement.

The hose being present risks the AMM when (not if) the air box thermostat fails.
--
Art Benstein near Baltimore

You can say any foolish thing to a dog, and the dog will give you a look that says, 'Wow, you're right! I never would've thought of that!'
- Dave Barry