Your efforts seem to paying off but I am not so sure its because of the product, as much as your patience and elbow grease. To be sure, I am not denigrating the product. However, you might find equal if not better results using a polishing compound designed to quickly remove a dead layer of paint.
When rejuvenating the existing finish, much depends upon the quality of the original paint. This includes how it was applied, how much was applied, the quality of the original materials and of course, the type of paint that was applied. Simple lacquer is very forgiving and can almost always be buffed out, acrylic enamels and urethanes are more complicated as can be clear coats. Sun exposure is obviously different in the Pacific Northwest and Florida, so even two identical paint jobs can react differently to the elements, and unfortunately, one will likely degrade faster than the other.
Over the years we have used all types of miracle waxes, polishes and "treatments" and it is hard to say what worked best because each finish - just like each of the products - was different. It's just difficult to quantify. I am pretty sure I used liquid glass sealant since a can of the stuff is with my remnants in the basement. I can't say it was any better than the turtle waxes, weatherwaxes, simonizes, classics, excaliburs, mothers, zaino's and zymols (and plenty of others) for bringing back a neglected or degraded finish.
The discourse about abrasives may be misplaced. The LG site's instructions recommend rubbing with a "coarse" cotton cloth. The mere act of rubbing with a cloth - abrades. Chemicals can remove/loosen/soften part of the finish (oils and pigment) and result in a degraded finish - without necessarily scratching. Coat a degraded finish with WD-40 or liquid furniture polish and you may find everything looks showroom fresh - until the surface dries out in minutes, or quickly collects lint, dirt or other debris. Adding a clear coat can often make a degraded paint job look very good. Unfortunately, if the substrate has issues, the clear coat may not last very long.
Adding to all of the above variants that might prepare or preserve paint - is the color of the paint. In my uneducated opinion, light colors are easier to maintain or rejuvenate that dark colors and metallics are the worst. Yes, there are exceptions to all of the rules.
If there was a point to my comments :wink:, it might be interesting if you were to try using another product on your paint for comparison purposes.