If you don't have to cut more than 100 feet from an outlet, corded is definitely the way to go. I only have battery tolls if I am going to use them often, because otherwise the batteries just go bad. I have a cordless drill, but the rest are corded or air powered (air powered is not very efficient, but sometimes it is a very good option or more compact. I have an air drill that I ported and while it uses an incredible amount of air, it is extremely compact and will turn a 1/2" bit like it's not even there. It comes in handy when working in confined spaces, like inside of boats.
Corded has unlimited run time and usually more power than cordless
Cordless is more portable and great for remote areas like trimming trails
Stihl claims their new cordless saw competes with 50cc gas saws, but the runtime is short and it is very expensive. You need multiple batteries/chargers to extend run times, and it's heavier than gas saws.(it weighs about the same as a 660)
I would love to have electric saws, but the problem is energy storage and weight. A small amount of gasoline has a lot of energy. Batteries can't compete with liquid hydrocarbon fuels for energy density. I converted my splitter to electric because I was sick of the noise, vibration, and stinky fumes. I like my corded stihl for the same reasons. If gov't and corporations really cared about all the green stuff they push, it would be the most cost effective and affordable stuff on the market to get people to change over. But it's not, it's some of the most expensive and technologically complicated stuff that you can't fix.
I have a trolling motor and deep cycle battery. That trolling motor won't run very long at full power before the battery is dead, and it doesn't matter if it is lead acid or lithium. Sure lithium will run twice as long, but that's still just turning a prop in water, not pulling a chain through hardwood. You can buy a LOT of gas for the cost of just one battery, and a lifetime supply of saw gas for the cost of the cordless saw package. If they come out with a lightweight battery that holds 4x more power than currently available, I'll be in line (as long as the price is ok). Until then, it's not really an option for me because I need a saw that will cut until the job is done or I'm tired, and cord power or gas are the only two options unless you count hand power.