This past season we had a buddy who had a stand about 1.5 miles in for his archery tag, but was forced out due to fires.
We were in there for muzzy season and he asked us if we would pack out his stand for him. This stand was much bigger and bulkier than the lone wolf's ive been looking at (not sure of model but it had a lot more going on in the seat department and didnt really pack down). Anyways, my buddy and I each took half and just strapped it to the outside of our exo 3500's, which would also be a good option for you.
Even if you just loosend the bag and slipped it between the frame and bag, it would probably carry much nicer since the weight wouldnt be hanging way out away from your body.
With how thin the lone wolf's pack down, should be no issue..depending on how far you have to hike I guess.
I would just fiddle with it, regardless you wont have any issues figuring out a way to pack it in and out on your exo.
Awesome packs.