Yeah definitely. It's already happening at my store. We've had the dedicated stockers doing their own backstock for a while now, and without exception, every area I've helped set a pog in, I've had to go back through the backroom and pull literally dozens of cases/eaches that weren't scanned in.
If it weren't for me actually caring and being good at my job, those shelf spaces would have probably sat empty for weeks until maybe someone either audited it and we got more in, or stumbled across the items in the backroom and created the location error by accidentally scanning them.
Backroom is definitely an area where you want people who are accountable and good at what they do. Having it be an afterthought, or the "thing someone has to do before they go home" just doesn't make sense to me.