Sadly it's platform independent at the moment.
Yes I know. But it would be quite easy to develop exporter for both softwares, which would create simple JSON file, with all the material informations - values, colors, map paths, etc.
Then, importer/interpreter for each application would have to be developed. Based on information stored in JSON file, it would reconstruct material in platform specific way.
Both importer and exporter could also access database directly. Data like corona version would be passed automaticaly, and even thumbnail creation could be automated.
I don't see much problem here. Only procedural maps could be the case here as you mentioned. I've never used Cinema, but I suppose that procedurals like noise and falloff are all available.
If not, procedural baker for some maps could be incorporated.
I might develop some proof of concept quite soon. For max/cinema pc version.