Re: drag having such a large impact-- the aero wheels alone account for a 3% range improvement [1]. Everything about a tesla optimizes range, so it's probably extra-impacted by anything that doesn't (like a big trailer).
I also wonder if the regenerative braking is less efficient / engages less often when dealing with larger weight.
[1] https://www.caranddriver.com/news/a30169467/tesla-model-3s-a...