I'm in the camp of full-wrap handles make saws more functional, and easier to handle. Using a half-wrap the way you would like to position the saw takes more muscles than if you have a full-wrap. It allows you to keep it lower when working in the tree, requiring less muscle.
The only time it's a hassle to me is when one is trying to low-cut stumps for grinding. Stig's euro-style felling is probably having the same challenge of the handle hitting low on buttress roots or the ground.