Can You Put Padding Under Vinyl Plank. Laminate hardwood and vinyl plank can look similar but they are completely different. You can put a heated floor under vinyl plank flooring.
Do not use any additional sound suppression underlayment or padding as doing so will void the LifeProof Warranty. As for glue-down vinyl plank flooring it is perfectly fine to install under cabinets as there isnt a need for the vinyl to expand and contract. You mentioned your vinyl is top of the line so if it is an SPC or WPC rigid core construction it is less likely to take the shape of the subfloor imperfections.
According to the rest of a test carried by some flooring experts underfloor heating has no negative effect on vinyl flooring.
The additional underlayment under the floor will help to reduce the sound. If you want to use additional underlayment with vinyl tile or planks that already have padding attached youre likely to experience some serious issues. It will simply make your subfloor stronger. The best thing is that you can add a vinyl membrane to your wooden flooring to create that protection level.