Got the wife this little Stihl chainsaw for her birthday. 12" bar, weighs about 7 lbs. Would have considered a cordless for sure if Stihl made one, they make electric saws, but no cordless yet. Now she can help me limb trees and I can use it up in the lift. Have two large Stihls of course.
I'd have no problem with a cordless saw ... these aren't your grandfather's cordless tools. I became a believer when I bought a nice cordless HD weed whacker, plenty of power and will run about as long as I typically feel like doing that job. Only use the big Stihl whacker when cutting down saplings in the woods. 80% of the time I'm using an handheld electric tool in the shop now it will be cordless.
In about ten years I'm guessing the performance of cordless tools will be on par with the best of the gas powered stuff with the exception of run time. Hard to use a cordless for eight hours a day a mile back in the woods ... but they are getting closer every year.