Only high poll rate wireless gaming mice have battery life that low. Most wireless mice I've used can last months on a single or dual AA batteries. The Kensington trackball I'm using right now will last nearly a year on a single pair of AA batteries, I have some rechargeable NiCads in it currently that have been going for a few months and still have a good charge left. My wife gets about a year of usage on her Microsoft Bluetooth mouse.
My Logitech MX Anywhere 2 mouse would last me a few months on a single charge before swapping to this trackball. A recharge took like an hour or so, normally I'd get the low battery notification like in the morning, plug it in when I went to go to lunch, and it would be fully charged by the time I got back and be good for a few months. Or I'd get it near the end of the day, plug it in overnight, and it would be good for a few months. Really not a hassle in the slightest.