Thanks for that clarification. "rejection" was perhaps the wrong word "augmentation" is certainly better with respect to the formal model.
However this does not quite capture the epistemological aspect of "space is curved" or better "matter tells space how to curve - space tells matter how to move".
Similarly perhaps to consider multivalent logic as an "augmentation" of binary logic fails to reflect the paradigmatic "history" of such a modification, or the philosophical positions taken thereto.
We are discussing here the relationship of "the model" to "reality" and since the latter is philosophically problematic, we must expect as much about the relationship itself, and the concept of "coherence".
Those interested in coherence might like: