Unless the lid is powered as part of a washlet... (which I can whole-heartedly recommend as one of the best ways I've spent $1K on my house).
Posting from one right now lol.
There's also fun to be had trolling toddlers. Sometimes when my 2yo closes the toilet I'll sneakily open it with the remote and she'll yell at it "NO!" and slam it shut again.
As to why they have the remote outside of the bathroom apparently.... I took have questions.