Hmm, very interesting ... that makes good sense,
theoretically.
However, I wonder if there are other factors that come into play and overwhelm this "gas expansion cooling" effect.
Now, how does one apply this interesting bit of information? For example a high compresion engine is also producing more horses than a low compresion engine of equal displasement ... so is it fair to compare a high copmpression engine of, say 360 cubes (higher hp) with a low compression engine of 360 cubes (lower hp) ... or is it fair to compare a high compression 180 hp engine (smaller displacement) with a low compression 180 hp engine (larger displacement)?
The question is, what happens in real applications? Do high compression engines really show lower exhaust temps?
... still, very interesting.