From the damage on the turret, it looks like the bow has had some rough times. I see that the bow isn’t under warranty.
If you can’t work something out with a Mathews dealer, then you still have one last option before replacing the limbs and turrets, and that is to sand out the sliver. From the looks of it, it would be best to disassemble the bow and remove the limb to work on it, might need Pro Shop help here. If you attempt a repair without removing the limb the turret may suffer more damage as a result and you won’t be able to taper out the repaired area. If the bow hasn’t been knocked out of tune (nock point shift) after the damage, most likely the repair will be successful.
Use a very fine sandpaper (360 or 400 grit, preferrably wet sanding), light strokes parallel to the limb, never cross grain, and a lot of patience to sand out the area so that the transition is smooth and all the sliver is removed. Run a cotton ball over the sanded area to test for any remaining sliver. This repair was quite common years ago and can be successful as long as the sliver runs parallel and not cross grain or too deep.
Likely, once repaired, the bow’s safety won’t be affected since it is an area of minimal flex and in the compression area of the limb, but the resale value won’t be much. You will be able to tell immediately if the repair affected the limb deflection (DW) by testing the peak DW on a bow scale and the nock location. If you can’t tune the bow with both limb bolts evenly set and using a nock point at 1/4″ or less above perpendicular, then the lower limb has been substantially weakened and new limbs would be in order.
I would recommend against shooting the bow until the repair has been made … the sliver can only get worse.