Hi blackrider,
They would be fine in terms of supporting the mattress but they can change the feel and performance of your sleeping system in terms of PPP compared to a rigid non flexing foundation that is more common with latex mattresses because the support system will have some extra give under the mattress. How much you notice this or whether the effect is beneficial or detrimental to your sleeping experience will depend on the specifics of the person and of the mattress. You can see more of my thoughts about tension adjustable flexible slat systems in post #13 here and post #2 here and post #2 here.
Phoenix