Both my atmospheric engines use stainless steel pistons in aluminum cylinders. It works but one has to be careful to allow for the different rates of expansion of the dissimilar metals.
The right piston material for these engines is probably graphite. I use graphite pistons in many of my Stirling engines and it works perfectly. In addition to being lightweight, an important concern in low temperature differential Stirlings, it's self-lubricating, which is really important. Oil drag in an LTD Stirling can easily overcome their miniscule power. Graphite's thermal expansion coefficient is about half that of stainless so that's another plus for this material.
The other problem with oil in a flame-eater is that it will form a carbonized residue in the cylinder from the heat of the hot gas. This means that it must be cleaned periodically. A graphite piston will solve that problem too.

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