I have a 300 rpm corded beast of a drill for mixing concrete, and I wish you luck doing that with a battery-powered one. This thing sounds like a land rover climbing a hill in low gear, and puts out about as much torque.
I've got a cordless framing nailer that sinks 3 1/2" nails with ease, and isn't that much heavier than an air one, without the hassle of hoses and compressors.
I've got a corded chop saw with its own fold-out stand, usually that thing is planted in one place for the duration of the job.
Oh yeah, and I have five different chargers for the whole menagerie of tools, because why would there ever be a standard?
There isn't a one-size-fits all solution -- some tools are better corded, some more practical with battery power. It depends on your use and situation.