So I have had experience with a sample size of zero, but I am a research hound and cheap as hell LOL
Both Brent and Barry pushed info to me, as well as every piston ring manufacturer and article on the net I can find agree, there really is no reason when swapping pistons to stay with the thicker rings. Brent referenced a Hot Rod or PHR test that compared 5/64 to 1.3mm, on a relatively small bore and short stroke SBC, it gained about 10 HP. Longer stroke and bigger bore would gain more as there is more internal friction
The reason this is doable is that ring material got better and allows a thinner ring, essentially wire not cast. Making them thinner is the same concept that we went 1/16 from 5/64. My conservative answer is go 1.5/1.5/3.0 with a good torque plate hone and don't look back, which I am doing for the 461CJ I have in the works
However, I cannot even really find a downside with good machining for even thinner, an that's why on my own 461 EFI motor, I ordered a set of Mahle 1.0/1.0/2.0 rings with Autotec 4032 pistons.
I believe they require a straighter cylinder, but I am not even sure that is true, the ring should follow better and have a better contact pressure, however, what I don't know is if the ring would lose temper faster than a thick ring with a tapered or misshapen cylinder. Logic says yes, because if it follows the surface more accurately where a thick ring will ride over. If that is true, the thin ring may work harder. All that does is require good machining and adequate cylinder wall.
We will soon see on my pair of relatively low-po 461s (compared to the drag racers)