Hi kerriohs,
There is more about the different types of support surfaces that are generally suitable for different types of mattresses in post #1 here.
If a mattress requires a box spring that has springs inside it (vs a foundation that doesn’t have any springs and has little to no flex) then a bunkie board wouldn’t be the best replacement because it doesn’t flex.
If you are using a bunkie board instead of a non flexing foundation then as long as the bunkie board is strong enough to support the mattress and the people sleeping on it and the support surface is suitable for your mattress then there is really no difference between using a bunkie board, a low profile foundation, a regular foundation, or a platform bed other than the height of your sleeping surface.
If your bunkie board has a solid support surface instead of a slatted support surface then it can limit the airflow under the mattress which can be a risk factor in some environments (see post #10 here) and I would tend to prefer a slatted support surface unless there is a compelling reason not to.
There is more about choosing a bunkie board in post #4 here and in post #4 here.
Phoenix