I'm not familiar with C4D nomenclature, but as a rule of thumb, you need to load colour maps (albedo) with gamma applied. On the other hand, data maps (roughness, displacement, normal, specular) should be loaded linearly. Probably the sole exception is AO map, since its usage is pretty arbitrary thing, you can load it either way, depending on what effect you want to achieve. If you load your maps correctly, then albedo map in material editor should look the same as it looks in your browser, and other maps should look brighter and less contrasty.
BTW, multiplying AO with albedo is not considered as good habit in Corona and other offline renderers. It would be better to use cavity map for this purpose instead.