I look at it like this....
Almost all waxes, QD's, and some sealants have some sort of silicone content coverage.
Some silicones will interfere with perfect polishing. If one is polishing with a product that has nourishing carrier oils in it then it probably will not matter. But if one is polishing with Menzerna or similar abrasives that actually corrects while using a lubricating carrier, then silicones will interfere and cause what I call, "silicone heat patches". Also, your pad will clog and gum up much faster causing excessive heat and will result in an uneven surface. When heat builds up over old wax lsp's, it actually causes a hydro barrier which will make the pad hop, skip, and a jump. Heat also will drive the old embedded stuff deep into the paint causing swirls and dull spots to come back in the future.
Now take a perfectly clean surface with all lsp's and etc. removed from the paint and you will be able to polish with ease with no hopping and the heat will be a at low minimum allowing you to work the surface perfectly. Pads will stay clean and cool. I love when my Metabo sings in perfect harmony on clean paint.
I think of it this way if one is to not remove lsp's and qd's from paint before polishing... It's like taking all the old stuff on the paint in powder form and putting it in the bottle of polish.
There is always a method behind my madness, but the results have been amazing.
I hope this helps!
Ryan