most of the part yes, BUT...
Render times do not rely only on materials. Most of the time it's the lighting model itself (Area lights, Global Illumination, Ambient Occlusion, photon samples etc) and effects (Motion Blur, Depth of Field etc).
Usually what makes a render slow in Materials is the SubSurface Scattering and high levels of SubPolygon Displacement.
And talking about SubPolygon Displacement leads to the geometry itself. High number of polygons can also increase the amount of render times dramatically when combined with the above mentioned options both material-wise and lighting model.
Your materials don't have SSS or SPD but they have reflections. This can really slow down rendering when a lot of polygons are to be reflected again and again. So for starters try to drop the reflection depth to 3 and see how much that reduces time. Usually Blur in reflective and transparent materials also increase time a lot.
Instead of baking the reflections which leads to a static textured material completely devoid from realistic reflection interactions with the environment and of course camera angle you can try to use an HDRI as a reflection. This way the material will no longer reflect the environment but only the image.
Since you send your render to a Render Farm you shouldn't be worried about render times. How long does it take for you to render one single frame in your computer and how long does it take to render the same frame at the render farm ? I understand that render farms can be expensive sometimes but given the amount of power they have I really doubt from what your screenshot shows that it would take more than an hour to render a 300 frame video at 2K.
Also your profile does not mention what version of C4D you use.
I could add more details but I choose not to because it gets trivial. Better provide screenshots from your render settings from the Physical tab (if you are using the Physical Renderer)