👍 DCNY. As I understand the behavior of Lithium Ion batteries operating on controllers, the battery cells aren't impacted by charge time, but by charge cycles and the speed/voltage of charging. Leaving it connected wouldn't be a problem - other than the cable. And assuming the controller is well built and programmed, which can be a risky assumption, like, "I swear, Fire Marshall Bill! A dang mouse burn down my house!" (calling out runaway battery fires from scooters and skateboards. And cars. And buses. And airplanes. And boats. And cars on boats.
That said, I typically keep right on working with my Logitech MX3 Anywhere mouse, connected with a cable, for the hours it takes to slow-charge. No big deal for grownups, who remember cabled meeces. Apparently, modern generations are horrified by monumental effort it takes to push a mouse with a cable. Maybe there should be a finger-wrist machine at the LA Fitness so they could buff up to take the punishment of occasional cabling. I used to hike to school through snowy woods and all I had to fight off the bears was a mouse with a cable!
In my government agencies, over the years, we have disabled BT on all Government Furnished Equipment (GFE). BT methods and encryption have always been weak; matter of fact, BT has been hard-compromised recently. CVE-2022-45866, CVE-2023-24023.