I think this is actually the official headset Microsoft wants people to buy.
I look at the basic one that comes with the console as just something to get you started. It has all of the necessary functions, though it isn't really top-of-the-line - it's el cheapo to keep the cost of the system low.
Xbox headset: Had a decent appearance, and worked fine but it's inconvenient when you wanted to lean your head back on a headrest, because it would push the entire thing forward.
Xbox 360 Headset: Pretty comfortable. I didn't like the newer design when they placed the buttons and volume control on the cord rather than the controller attachment.
Xbox One: Not a fan of the ear-cup design, but it IS in fact adjustable. Works fine, and I like the buttons/ volume control much better than the others. (It's also much better than that earpiece that I got with my PS4)