Yes, the "A" model does the same, and this is modeled. The fact that the engine will not re-start may be an X-Plane thing, but it will require some investigation to confirm. This will take some time and may actually end up being done for v2.0.
Not sure why, but i can tell you that moving the power levers quickly into reverse is extremely unrealistic. The engines have no time to spool down, and that could be part of the problem. Normally, you would be at "Flight Idle", or slightly above, at touchdown (low engine speed), and then into Beta and Reverse. I'm not sure that our model is wrong in that respect.