[wallfly]

It would be interesting to find out if using Hans Montanus's non-canonical formulation of GR (which involves a Euclidean metric and perfectly flat space-time) would yield the same numerical predictions, just with different "book keeping".

That would put a different spin on the notion of Einstein "being right" as I think a lot of folks subconsciously equate GR with the "strangeness" of the Minkowski metric and non-Euclidean space-time manifold.