Yes, I wouldn't use anything else.
Although people using electric ones are supposed to use a cut-out, I've never been convinced that hedgecutters and electric cables mix well.
But the main reason why I prefer cordless is that of convenience. There is no cable to have to mess around with. I have a plenty of hedge which is not easy to get a cable to, apart from dragging the cable over flower beds etc.
The battery life will be limited, to around 20 minutes before it needs a recharge. But I take that as an opportunity to tidy up what I've done. And the batteries don't last forever and so will need replacing after a few years, depending on how much you use them. Personally, I like the Bosch range. The one I have came supplied with two batteries, to allow to for around 40 minutes of cutting.
You can of course also get hedge trimmers that will fit on the end of a tall pole, to enable you to cut along the top of a hedge without using a ladder. Personally I use the ladder.