I don't understand people like this, and also in the stories by other posters.
I managed to get an entire two bed, flat packed by myself with a two year old, as a single breastfeeding, broken sleep mum, in time for my removal company. White goods unplugged, the lot. My mum helped me deep clean the place to perfection too and I even went out and bought the people moving in a Christmas plant as it was a week before Christmas.
It was a council swap and unfortunately the people I swapped with were also not packed when we got there, despite having put so much pressure on me to swap as soon as possible. I was the one emptying their fridge for them. They didn't get out until nearly midnight as the removal company would not wait, and I had to come back the next day.
Unfortunately in those situations, there's no contract to make them cover your expenses and you're left with the crap they leave behind. It should be made that they're liable imo.
If you know you're moving, you start packing straight away imo, and leave the bits out that you need the most- couple of pans, plates, clothes and toiletries.