I feel a big part of the problem is that Daz and Illusion's Studio programs are geared towards simple static posing and are meant to be intuitive for unskilled users to work with. They really didn't give any serious thought to user created animations. You have to get away from those programs if you really want to get serious about 3D animation. Animating a scene with the proper tools can be a lot faster than creating a series of static poses with poor tools once you gain a little experience.
Though that obviously means overcoming a lot of hurdles, mainly with designing or purchasing rigged models and background scenes to work with in your 3D animation program of choice (which also needs to be learned). Blender's really nice for animation if you've got a model with appropriate helpers integrated - ik/fk switches where appropriate, control bones for drivers and simplifying things like foot roll and hand closing, shape keys to save deformations for correcting mesh problems or doing facial expressions, and the graph animation editor for adjusting the transitions between key frames using curves.
One thing that can possibly make things easier for those coming from Daz who'd like to leverage the power of Blender would be this exporter/importer:
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. I haven't used it myself, but it looks rather promising.
On the 2D side of things Toonz was open-sourced as
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which is used by some pretty big animation studios. Also
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has some pretty nice animation tools built-in now. If you want to do 2D animation using skeletal rigs and mesh deforms,
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has nice coverage for those features now. Though you may have to build it yourself to get the new deform features until the next update comes out as they were only recently added.
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