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SD SCPB in vintage Hagstrom

Anyone had any success replacing the single coil pup in a vintage Hagstrom for a SD SCPB pup?
The pickup itself will fit in the ring, but the screw spacing is different. The SD is 3 1/8", while the screw spacing on the ring is 3 5/32".
Will the screws fit? Almost seems the screws would be on a slight angle and not mount properly.