I've never used PyTorch or Chainer, so maybe I'm wildly wrong, but here goes..
Dynamic batching requires you to predefine a set of "batch-wise" operations (node types for computation graphs). This works fine for eager execution as well, because the eager code is inside a function definition. Of course if you want to do dynamic batching you need to introduce a layer of abstraction, e.g. instead of saying a+b you create a dynamic batching operation for addition and add edges to an execution graph, this is not different than in our TF implementation.