Let's run the numbers to see what's going on here with your 1000' vertical delta between home and the nearby city.
The Model 3 has an empty weight of 4,000 pounds. Put 500 pounds of people and stuff in it and it's now sitting at 4,500 pounds (2040 kg). 1,000' of height difference is 304 meters. The potential energy difference between those two elevations is: 2200 kg * 9.8 m/s2 * 304 m / 3,600,000 Joules/kWh = 1.82 kWh. This is why the general rule of thumb is that you spend 7 miles of range to climb 1000' of altitude.
The EPA rated range on my Model 3 is at something like 240 Wh/mile. I question if it's really a 25% grade, but a 25% grade says your 1000' climb/descent is happening over the course of 4123' or .8 miles. That means you're spending 240 Wh/mile to move (the air out of your way) and 2,275 Wh per mile to climb the hill. You're spending almost 10 times your normal energy budget to counteract gravity. Even if the grade was a more reasonable 10%, that's still a 1000' climb over 10,000' (1.89 miles), which works out to 963 Wh/mile.
Do the same thing in a gas car that gets 30 mpg. A gallon
of gasoline is equivalent to 33.41 kWh, so that works out to 1,113 Wh/mile. The same 2,275 Wh per mile to climb the hill is going to be consumed in addition to your normal energy needs, but that's a much lower percentage hit because your efficiency is so much lower to start with.
The same thing happens when you try to tow a trailer at speed (basically acts as a giant parachute adding drag). If your tow vehicle (my 2013 1/2 ton pickup) gets 15 mpg (2,227 Wh/mile) to start with, you're not going to notice the added drag from the trailer as much as when you start with an efficient vehicle like the Model X at ~330 Wh/mile.
And yes, what I believe is misplaced concern over minute changes in efficiency is because the cars are so efficient to begin with and you are given tools that show you the minutia of any slight variation due to weather and or road conditions. Using these same calculations, a 2.5% grade is enough to double your power consumption at highway speeds. Looking at
List of mountain passes in Colorado - Wikipedia, every one of the mountain passes listed with a max grade peaks at over 2.5%.
Edit: And to make this relative to the OP, the same energy increase happens in cold weather on gas and electric cars, it's just that the percentage change is a lot higher on the EV since you're so efficient in "normal" operations.