Mice of that category do everything they can to lower battery consumption: lower scanning speeds, lower transmit power, various sleep states, and so on. Every one of those compromises, however appropriate they may be for the application at hand, makes for a less enjoyable experience.
Rechargeable wireless mice.... they don't make those trade offs because they're not concerned with squeezing out every last possible second of battery life. You'll get better transmit distance, quicker response, and most importantly, an overall better experience that doesn't involve running out of fresh batteries.
For the absolute best coverage, Logitech has some models that come with an extra battery pack that you can pop out of the mouse and into a receptacle on the dock so you don't ever "run out" if you forget to charge the mouse. Personally speaking though, I bought a bunch of MX5000 desktop kits (Bluetooth mouse + keyboard) when they went on clearance, and just keep one on the dock and one on my desk, and switch them out when the one I'm using dies.