Pound to a penny if you lift the tiles the screed will be cracked following the same line. This means the screed has become unsound and should be repaired. Unfortunately it is not as simple as that if the screed has no joints across door thresholds and the like repairing it will probably just lead to the cracks moving and rebreaking. I think your best bet is to repair them as best you can using a flexible epoxy resin to help reduce any vertical movement then replace the tiles with an uncoupling membrane. I don't think this will give you much choice.