The UV protectant in the Sylvania kit was in a packet and extremely thick. You squeezed it out onto a supplied cloth and then wiped it by hand right onto the lens.
I just did our Civic's headlights today with the Sylvania kit and that description is not right for the kit they are currently selling. There are 3 containers in the box: (1) activator in a pump bottle, (2) polish (they call it something else, clarifying compound, or something like that) in a foil pack, and (3) final UV protecting coat in a small bottle. The UV protectant is a yellowish slightly viscous transparent fluid, the polish is very thick and not transparent (that is, it looks like most other polishes).
I did these headlights when I first bought the car used 3 years ago. At that time I just used various grades of sandpaper and polished at the end with some generic metal polish. That looked good for about a year and a half, kind of ugly for a year after that, and unacceptably foggy from that point on. (I rarely drive at night, so there was no hurry to fix this.) The headlights looked about the same at the end of the previous treatment as they did with the Sylvania up until just before the UV protectant was put on. So I would not say that the Sylvania was any better than just sanding and polishing for treating the plastic. However, the activator does seem to work, as most of the yellow discoloration came off the headlights with just that fluid. Honestly it looked a bit like somebody had pissed on the headlights, since on the rinse yellow drops run off the headlights. With the yellow gone, the total amount of sanding was reduced, I think I only sanded for about half as long this time. (Possibly because I sanded so long last time?)
The UV protectant, which is some sort of clear coat, did make the lights very shiny after it was applied. Unfortunately the Civic headlights are not just curved, they have raised "bumps" where some of the optics poke out a bit, and it was moderately tricky wiping the stuff on and not missing spots. I'm sure if I did this a couple of times I would get the hang of it, but doing it only once, the coat did not go on perfectly. It has some wavy areas, and there is a blotch on one headlight where I had to go back and spot on some next to one of the bumps, where the cloth jumped over a few millimeters (like a skier coming off a hill). My daughter has the P5 with her in another state at the moment, but my recollection is that its headlights don't have these bumps, so that would not be an issue.
My one recommendation for the Sylvania kit is to go very, very heavy with the UV protectant on the cloth. They say to do that in the instructions, but there is only the one little bottle, and you don't want to run out on the 2nd lamp. As it was I undershot the mark, and there was about 1/3 left after finishing the 2nd headlight, so I could have used more, and that would have helped with the skipping on the bumps. If I had it to do over again I would have poured half of the UV protectant into another little glass bottle - easier to judge how much is being used. Another tactic would be to use a sharpie and mark a half way point on the bottle.