I generally re-apply a spray wax (Optimum Car Wax) with every other application of the Diamondite Bug Eraser. I don't think it's necessary with all LSP's, but as quick and easy as Optimum Car Wax (and other spray waxes for that matter) is to apply and remove, it's worth taking the extra minute to apply a quick coat to the area treated with the Bug Eraser. This ensures that there is even coverage of wax to protect the vehicle, enhance the shine, and make future bug removal easier. This applies to all bug/tar removal products.
For other tips and tricks with Diamondite Bug Eraser, check out the thread I created during love bug season down here in Florida. Quick & Easy Bug Removal w/Diamondite Bug Eraser