I can't believe the DT will be this niaieve to the situation.
They must know that as soon as they use up their strikes the prosecution has carte blanche to start, effectively, making up the jury.
If they have any sense (and at least AF has selected DP juries before and CM should have also) then they will know to stop striking before they have used them all up and they have a reasonably favourable jury pool to themselves (at which point the SA may start using their strikes).
I suppose however, if this jury selection method hasn't been used before (i.e. JP seeking to swear the jury as soon as 12 have been found to force the parties hands to to use a PE) then they might not be wise to this. However, AF should have enough sense