Is it really possible for everyone with the desire to become a quality 3D figure maker? I don’t know, but I have my doubts. I believe an element of talent is required to get anywhere with this sort of thing.

If you intend to make independent short movies, it would be most convenient to be a modeler/texture maker/animator, but how common is such a comprehensive skill set? How many years would it take to acquire?

I still haven't begun to learn animation with any serious intent. I've been too busy modeling, texturing and rigging. 
 

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