No it doesn't.
Application of reverse thrust should result in speedbrake deployment even if the speedbrake lever is down (not armed,) however cancelling reverse thrust will not cause the spoiler panels to retract or consequently the speedbrake lever to move.
According to the report given above, the speedbrake lever briefly moved from the armed to the down to the armed position, during the A/G transition phase at touchdown. It then apparantly remained in the armed position for the duration of the event.
In the ordinary course of events the speedbrakes should be deployed manually at touchdown if they do not deploy automatically. Failing that, they should deploy if and when the thrust reversers activate. However you would not rely on the latter feature to satisfy this requirement.