Good stuff buddy, depending on what LSP you have on the car, if it's a waxed based product, it would be more beneficial to remove it first with either a wax remover or Panel prep, this will help bonding and give you better results buddy
It does work well on Nano, ceramic, Polymer LSP as a topper or drying aid, so you would need to remove them.
Let us know your thoughts and how you get on with matey