I have one of each of the Lone Wolf hang ons,(Assault, Alpha and the Elite) As far as I can see the only difference in any of them is the size of the platform. In the spec's the Assault looks smaller but in area in front of the post or in between the cables, it is only about an inch shorter in front.
Since they trimmed the back corners outside the cables, (Which I have never had a use for) it also shortened up the back, makes the v look a bit shallow but on trees as big as I can get a strap around, I haven't had a problem.. The Alpha or at least mine which is older does have some pockets for limbs which the others do not have. The Assault is the one I use for hang and hunt, just because of the size. Pretty much up to personal choice.I am sure any cast platform over the long haul will stay quieter than a welded one, but not having any experience with the Muddy, I won't take it any further.