When it comes to packing fast, you'll probably want to keep the rainfly/tarp - which may be wet - away from the hammock - which should be dry.
Hennessy sells "snake skins" that work with other hammocks too. They slide on the hammock from the suspension line - one from each side - and enclose it in a nylon tube. You can fold the tube up, wrap the suspension lines around it and put it in your pack. Also, from Campmor, Bliss sells their version of a snake skin for half the price of Hennessy - about $10.00. Once again it is a nylon sleeve, but designed to go from one end to the other instead of two parts meeting in the middle.
Or ... you might decide to keep your fly/tarp in a nylon wrap like a snake skin to keep the wet away from other gear. I don't like that idea myself, I prefer to tie wet gear on the outside of the pack.
Also bear in mind, astonishing though it may be, that at some point you may not find trees or support to suspend your hammock. In that case it has just become a "bivi bag" and you'll need a ground cover that maybe that insulation pad.
At some point, more money doesn't mean better; it just means more money. But the cut and the rigging, the "feel" is going to be different. Just like two pair of pants with the same waist and inseam from two manufacturers will fit differently.
I started with a classic Hennessy and that sold me on hammocks. Now I'm playing with WarBonnet. And I have a ENO single nest I keep in the car.
As much as the bottom opening of Hennessy is unconventional, there is something to say for the simplicity of just sitting up, putting your feet down and standing up - no messing with zippers.
If you do get a zipper model, I suggest you put additional pull cord on the zipper, preferably the reflective kind.