This is from the web site link you posted:
Q. Will Liquid Glass Polish/Finish restore heavily oxidized paint or gel coat?
A. No. Liquid Glass Polish/Finish is used to protect a nonporous surface. It will not remove oxidation or restore much color to a heavily oxidized surface.
Q. Is Liquid Glass Polish/Finish safe for use on new car finishes with clear coat paint?
A. Yes. Liquid Glass Polish/Finish contains no abrasives or cleaners, and is perfectly safe for all paint finishes including clear coat.
Q. Should Pre-Cleaner be used on a new car before applying Liquid Glass Polish/Finish?
A. Yes. Pre-Cleaner should always be used before the initial coat of Liquid Glass Polish/Finish. Even new cars will have some type of wax or dealer preparation product on them before the car is delivered. Removing everything from the paint surface will ensure good adhesion of Liquid Glass Polish/Finish with a minimum of streaking.
This suggests that LG is a LSP or sealant with no cleaners. I would not call it a polish or even an All-in-one type product.
There is a lot of confusion or mixed us of the word "polish" in the auto wax/sealant industry. I believe most Autopians would use polish to describe a product that prepares a paint surface and/or removes surface defects prior to applying an LSP, such as swirls, oxidation, scuffs, water spots, etc.