My wing is like that. To be honest, I didn't understand the OP's problem.
Most jackets I've seen have either that little strap, or the handle in the top of their "backplate", or both. A typical bp&w does not have anything of the sort. On Eric's plate it's easy to hold both straps in one hand but on regular ones you often need two to put it on the tank straight.
I thread a loop of paracord through mine for hanging it in DFB-SD gear room on Bonaire: it has wetsuit hanger rack in the middle and pegs along the walls for everything else.