When I was in Panama, in one of the places I went to, I had to sleep in a hammock, and it was hell! Really uncomfortable, my back hurt from being bent the whole night, and I kept waking up all the time because I couldn't find the right position. Also, I wasn't swaying, that might last for a few minutes only, but after you fall asleep, if you are not moving, you don't sway at all.
Even though it wasn't the best sleep, I could bear it. But the friend I was with couldn't take it, he wanted to leave at 5 in the morning the first night there, he was totally desperate.
From that experience I'd say there's no way hammocks make sleep easier.
This of course depends on the quality of the hammock, in much the same way that a poor mattress will make for a bad sleeping experience. I own a Warbonnet Blackbird hammock (http://warbonnetoutdoors.com/blackbirds.php) and it's extremely comfortable. They're one of the very best hammocks out there and are very popular with the backpacking crowd.
Even though it wasn't the best sleep, I could bear it. But the friend I was with couldn't take it, he wanted to leave at 5 in the morning the first night there, he was totally desperate.
From that experience I'd say there's no way hammocks make sleep easier.