I don’t know either. There really isn’t a universally agreed upon standard for how to leave a toilet seat. Even with a sign dictating the expected behaviour, it’s not a guarantee. It’s completely illogical to expect a toilet seat to have been left in any specific state*, and therefore the onus is entirely on the next person to set it how they want before using it. This is already how it works. It takes 1 second. I don’t know who is complaining about it.
Although, on second thought, the only people who would ever have to move the seat in a seat-down world are those who want to pee standing up, and there might be some value in very gently discouraging that behaviour in a public restroom. Not sure if that’s the goal here, but it’s a theory.
*Unless there’s a lid. Close the damn lid!
In my cursory search of the web, it does not appear that gnome-software is available on mint, unless you fancy mucking around with PPAs and such. But there is good news!
Mint uses a desktop environment called Cinnamon, which is installable on arch-based systems and should be listed as an option in the CachyOS installer. And you can install the
gnome-softwarepackage on top as well.