After rendering basically every permutation of the material using Substance renderers (Yebis, Iray) in various Substance material authoring / texturing softwares, I think I have to backpedal on my earlier assertions, because it appears I've misunderstood or miscalibrated Substance Designer.
Looking at the various renders (displacement exaggerated for effect) it appears that Substance Painter Iray render and Corona (tonemapped) render are the most visually similar to the preview renders from Substance Source.
The Substance Painter Yebis and Iray renders differ significantly in terms of the normal map response - AO response? It looks like the self-shadowing is completely different, perhaps because the shadows are being calculated from the normal map in Yebis but from the geo with Iray?
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substance source preview
vpq_substance_source_preview_1

vpq_substance_source_preview_2

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vpq_
corona_linear

vpq_
corona_tonemap_5.0cm

vpq_
corona_tonemap_1.0cm

vpq_substance_
designer_iray_cw

vpq_substance_
designer_iray_default

vpq_substance_
designer_viewport_cw

vpq_substance_
designer_viewport_default

vpq_substance_
painter_iray

vpq_substance_
painter_viewport

vpq_substance_
player