I tried a few jack pads, including polyurethane and rubber ones. The problem with the rubber ones is that they deform a lot under pressure. Both types seem to put pressure on the surrounding trim where the exposed pinch welds are. I haven't taken off the trim around the pinch welds but it seems like there is big gap before there is any structure.
The best solution I could find is this metal one
https://smile.amazon.com/gp/product/B081ZZBH26/ref=ppx_yo_dt_b_asin_title_o03_s00?ie=UTF8&th=1. This pad includes a couple of built-in magnets and fits very easy at the rear jack points. In the front, I pried the trim facing out a bit to slide the pad fully around the exposed pinch weld.
I have included a few pictures for the sake of comparison. As I mentioned before, my current understanding (based on the design of the included scissor jack) is that the P8 needs to be lifted by the exposed pinch welds (and have successfully done so with a floor jack that had protective rubber).