LA360 compression

The piston "upgrade" is not an upgrade at all. There are two main pistons for the 360. Flat top and dished. The dished has a taller compression height and basically has the same compression. Although it sits higher in the bore at TDC, it has a dish, which reduces compression. The flat top has a shorter compression height and no dish. There are essentially different types of pistons that achieve basically the same thing. Different year model pistons. There WAS a 1971 only piston from Chrysler that was a flat top and near zero deck height that had an actual 9:1 compression for the 71 only model year, but those pistons are impossible to find in the aftermarket now. You DO NOT have a high compression piston, so stop digging for it. I don't understand your reasoning for returning the heads at all, as you've been told time and again that a low compression engine can be built to run and run strong. You're just not listening. It's your baby though, so have at it.
You quoted me but are speaking to the OP. I was merely pointing out what I found. I agree with you 100%.