The target for the Thunderchild cabs was, as "true to the input signal" as reasonably feasible, over a fairly wide horizontal arc. The target for the Hathor cab was, more of a traditional bass cab voicing but with better articulation and disperson than most.
The Hathor 1544 it tuned a bit tighter in the bottom end than the "stock" Thunderchild tunings. The Thunderchild cabs can be tightened up with the port plugs, but that's not what the internal damping is optimized for, like it is on the Hathor cab. The Thunderchild cabs are more articulate on top, while the Hathor cab puts a bit more emphasis on the midrange region. Standing very close to the cab, that open format midchamber on the Hathor makes it easier to hear what's going on. The Hathor cab is a little bit more efficient than the TC115, but theoretically handles a bit less power, so their max SPL is probably very similar.
Also unlike the current Thunderchild lineup, the Hathor 1544 is available in either 4 or 8 ohms.
The screws do go into T-nuts, and then the entire handle is gorilla-glued in place to make it very solid. So the handles are permanantly attached to the cabinet. I don't know what would happen if you tried to remove one of the screws and then replace it; if it binds going in either direction, you'll spin the T-nut and have a potentially major problem.
I would strongly suggest installing independent attachment points for any sort of carrying strap, and you'd probably want to intall big washers or a backer board of some kind inside the box to spread the load a bit.