Eh, this is a tough one to reply to in a succinct manner, so bear with me while I ramble on...
First, IMO you gotta figure out if the new/additional product is gonna make the previous one a moot point; e.g., you wax with
X and hopefully notice that it feels/looks/acts like it's "waxed". If you then wax it again with
Y, what difference(s) do you expect to see, and if what you discern is the "
Y effect" then how would you know if the
X got removed or not? In many cases I don't think you *can* tell, the subsequently applied product "replaces" the first one for practical purposes. E.g., you wax with P21s and then rewax with M16; they both look/act/etc. about the same so I wouldn't expect any diff other than M16 lasting longer.
In other cases you could tell...trying to think up a good example off the top of my head, hmm... OK, you wax with 476S and it looks/acts "Collinited"; then you wax again with Souveran and it looks different. Now the Souveran will be gone in a few washes, and if you observe closely it'll start looking different as the Souveran goes away. So you park in the hot sun and time passes and you wash six/eight times and IMO it's safe to assume the Souveran is gone. Is it still slick/beading/"waxed"? If so I'd assume the Collinite is still on there.
Better example: If you put six layers of KSG on, and then top with a wax, after a whle the wax will be gone but it'll still be "KSGed" and you'll be able to tell if only by that "signature plasticy KSG feel" even though there might be some "dead wax artifacts" on top of it.
One more example- top a "sheeting" product with a "beading" product...see what happens over a month or two.
FWIW, I usually just assume that the subsequently-applied product removed the previous one unless it's something like that KSG example. I've switched my wife's A8 between three different waxes recently, and I don't think (or care) that the earlier ones are still on there doing much of anything. Maybe they are, maybe they aren't, but IMO what I see/feel/etc. is the last one I applied.
As for layering, I try to test in a proper manner, with the types of controls you'd use for any scientific experiment. It's been a while since I posted this, but here's how I test (when I care enough to actually do it

) :
Pick a panel, like the hood. Apply one coat of the product to the whole hood. Apply a second coat (or more) to one half of the panel. Apply one final additional coat to the whole panel to equalize the start-time for the test (especially important if you do this layering experiment over a protracted period of time, like after a series of washes). Now you've got a hood with half that was LSPed twice and the other half that was LSPed more times. Observe. Do the two halves differ over time or do they act the same as the LSP gradually "dies off"?
Or, just don't worry about it and err on the side of caution by reLSPing on a regular basis before it obviously needs doing. I layer things like FK1000P (over the course of several washes) and KSG, and Collinite because I've observed significant differences when I tested as per the above (and yeah, I know that's different from what some people have reported on the internet- go you your first-hand experience, not what anybody else says including me). I do not bother layering other products, I just reapply them before I notice any obvious signs of LSP degradation.
One final note- LSPs like FK1000P that were developed as mold-release products almost *have* to layer or else they wouldn't be very good for that. Maybe Ron Ketcham can chime in with a more knowledgeable viewpoint than mine....