It sounds like an otherwise well insulated building.
" it's after 9pm the sun has been gone for four hours now and it's still 71* in here..current outside temp is 33*."
The climate in each apartment is supposed to be self contained. Here in America, building codes, in general, concerning fire walls and blockage have been in place for a long time. Especially in multi family dwellings. There is a good chance that every apartment is "fire blocked" from the other on all sides top to bottom. As well, there is sometimes sound insulation in adjoining walls. If fire cannot get through then I don't see how heat and ac could either. When your neighbor is cooking, can you smell it in your apartment or would you have to go into the common hallway to smell it? IF! there is anything criminal going on, I would say it lies with the building contractor and inspectors IF! those "fire codes" were not enforced.
"If your door opens onto a common area where the bill is shared and you were proping the door open to get your heat or cooling, he would have reason to complain."
As for the ice packs. Been there done that. Lived in a retired 1956 Chevrolet school bus while house construction was going on. Saved our empty gallon milk jugs, set them outside with water in them during winter to freeze, changed them out from the indoor icebox when needed, always had a surplus. Had to buy ice in the summer though for essentials. Most of the stuff was kept cool in the creek though. Gas refrigerator/freezer now, with plans to capture waste heat in the future. Right now, back of fridge is sealed to an air chase with outside air flowing up and out. This keeps heat out of house in the summer and works a little to good in the winter, have to block chase off partially.
This brings to mind though how in conventional building practices how much harder an AC system has to work. Every bulb is a heat source, refrigerator/freezers, oven/stoves, water heaters, all interior heat sources that the AC unit has to pull out of the house and deposit outdoors. What made me think of this was when we were re-wiring the chandeliers on the cathedral ceiling in the sanctuary of a church and the treasurer ask me if this would effect his light bill. Six chandelier's, 1500 watts each. I explained to him that its not just the added light that would effect the light bill but the added heat as well that the AC unit would have to pull out in the summer time. I compared it to running six 1500 watt space heaters while running the air conditioning at the sametime. He ask if there was anything that could be done, dimmers maybe? While trying to do my best impersonation of Ponchus Pilot, I pointed to the lights with one hand while holding the other hand out, palm up and said, "its up to you. choose one and sacrifice the other. More light or more money, (while bringing the pointed finger to bare on him) which one do you choose? I think he got the metaphor because he just chuckled as he walked away. Thankfully though, somebody was using their noddle.
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