Well, for starters, the pressure. Think about how pressure works.
If you open a floodgate (barrier) then what happens? Does the air go into the water's area, or does the water spill out?
I don't think the barrier+FTG works like a portal, for instance, th juubi's TBB suddenly appeared at the kunai location, it didn't flow out of anything. The barrier is just a temporary storage space for objects before they are teleported.