Complete map considers the diffuse map when the lightmap is generated. So practically the diffuse map will be baked in into the lightmap.

This is usually not good, because dynamic lights can't be properly calculated with complete map.

So we suggest to use VRayRawTotalLightingMap.

What about aximmetry complete studio scene video tutorials

https://aximmetry.com/learn/welcome/ 

It explaining how use Complete maps not light maps.

so is using Complete map supported?

Yes, it is supported.

In the tutorial we used the complete map approach, because it gave a better result in that particular scene.

But in general preferring light map is advised.