Semi-tethered approach would probably be good for being able to use around the house. And I think this would be consistent with other medical equipment. Some people who require oxygen often have a very large oxygen machine at home with a long cord so they can move around the house, but have to carry portable machines when they are not home.

The portable exoskeleton is a pretty big leap though. I think in order to have it be useful anywhere else but at home it would need to be significantly longer on the order of hours. I'm thinking time it takes from getting out of a car to go in to a shop and run an errand and come back (perhaps extra battery packs in the car or a place to recharge from the car)

Or for added convenience, what if you had something like a roomba that followed you around the house and plugged in to a socket in the room on one end and to the exoskeleton frame on the other end without any manual intervention on your part?

That would be pretty cool. Also made me think of an idea (albient a super unsafe one) of having overhead power to connect to like an electric trolley.