My bedroom being at the end of the hallway, was noticeably colder then the rest of the house, and the air the fan was blowing down the hallway was warmer then the rest of the house.
Pardon me if I misunderstood you, I can't tell if you are saying that I'm incorrect, correct, or just making a statement lol but...
There are a few things that could have been happening. Without any measurements being taken it's hard to pinpoint exactly the cause.
One, I have a feeling this isn't the case, but your room may just be better at receiving cold are from a central air conditioning unit, if you have one, causing your room to be more cold than the rest of the house. But, the effect may come and go and this time it happened to correlate with the fan and thus it seemed this way. My room tends to be extremely warm if the door is closed and another room in my house extremely cold.
Two, the fan may have cause an area of low pressure in your hallway causing warm air from your room to move into the hallway and thus your room was cooled. Even with the door closed I am assuming there is enough of some sort of crack somewhere around the door to allow air to move through even when closed. If I close the door in my bathroom and turn on the bathroom fan I will notice air being "sucked" into the room, through the cracks between the door and the door frame. So even a small bathroom fan can cause a decent amount of air to flow (pressure change).
Three, the soaked carpet may have had a cooling effect on your room. Water has a high specific heat and therefore doesn't change temperature quickly (or "easily" in a sense), especially when compared with other matter such as metal which typically will warm and cool quickly. The effect of cooling from the soaked carpet may have been greater from the effect of warming from the air blown by the fan.
Four, remember that the fan from the air can be room temperature, but still produce a cooling effect on you, as the fan is increasing the rate of evaporation of sweat on your skin. Also, the air coming form the fan may have been higher in temperature more near the fan and then cooled by the time it reached your room (the air traveling over the soaked carpet).
Five, the burst pipe may have gotten the walls or ceiling wet also contributing to the cooling effect in your room.
But, I have no real idea, I wasn't there
lol
But I couldn't see how it would be otherwise with a cold drink (below room temperature) being placed in a closed room with a fan (no air being blown in from outside, no air being blown out). The air flow on the can should more quickly raise the temperature of the can. And think of this, you probably use a fan most often when it is warmer outside than it is indoors or when both are at nearly the same temperature. Also, even with a door open the rest of the house (or space) should probably be about the same in temperature as the room the cold drink is in. So most likely when a fan is on and a cold drink is in it's air flow, the drink is being warmed more quickly and not being kept cool longer.
Hmmm, but I'm not an expert here. It would be interesting to see if someone could prove otherwise or at least confirm this for me.