Can my actuator be broken if my key unlocks all doors but the door I stick my key into?

I have a toyota sequoia and they are well known for having back door problems. The handle broke off and my son replaced it.

The handle opened the rear door once. I stuck my friend's ping-pong table in the back and shut the door. When we went to remove the table from the car, the back door latch seemed to pull on the hatch lock, but the door wouldn't open. The table is one foot away from the back door and did not cause this problem.

I kept on locking and unlocking the doors and while all of the other doors unlocked and could be opened, the back one wouldn't open.

I've been reading about the actuator, but the material is over my head. So, while I don't think the problem is the actuator, what I want to know is can I rule that out as the source of the problem, if when I stick my key in the rear door lock, the key unlocks the other four doors on the car and they can all be opened? The back door of the Toyota Sequoia does not have an unlock button. Obviously something electrical is working to unlock the four doors. If the actuator were broken, could these four doors still be unlocked? Or, it is possible that the actuator could be broken in such a way that the four doors unlock but the rear door doesn't? Most Toyota Sequoia problems seem to be with the handle and the hatch lock.