You ask:
Is Alice here really fairly shifting the burden of proof or is she committing what Bennett considers a fallacy? She actually came up with proof for her position, and offered to debate those pieces of evidence.
It depends on what you mean by "actually came up with proof", since different parties may differ on standards of evidence and proof and in wider questions of epistemology. This is why, for instance, in the US legal system, there are standards of evidence to guide in questions of whether or not someone actually meets the burden of proof. In the example you lifted from Bennett, you simply don't provide enough information on the question if A,B,C, and D meet the burden, even in the abstract. So, if it is as you claim, that the standard has been met, it is not the egregious case, and if it hasn't then it is.
Generally, shifting the burden of proof is about having to show one's claims. In the Toulmin method, for instance, claims are established usually in tandem with warrants and rebuttals. Warrants function as sub-arguments which function as the premise to the claims, and preemptive rebuttals function as sub-arguments against anticipated counterarguments. It is fair to say that by adducing evidential warrants, one is indeed shifting the burden of proof by establishing that the primary claim must be true if the premises brought about by the sub-arguments are true. Now, your opponent can no longer argue against the conclusion, but rather against the basis upon which it rests. This, of course, is a good thing.
In law, this idea is encapsulated by a quotation attributed to Sandburg:
“If the facts are against you, argue the law. If the law is against you, argue the facts. If the law and the facts are against you, pound the table and yell like hell”
Inference in all cases moves from premises to conclusions. If an argument is strong, then you have to attack the premises upon which it rests, and if an argument is well-buttressed by evidence, then the burden of proof shifts to the interlocutor in opposition of the conclusion in the form of attacking the evidence. Consider the trial of O.J. Simpson, who when confronted with a strong prosecutorial evidence, had a defense attorney smart enough to get the jury to witness the process of the Squeeze trying to put on the glove used by the murderer. He ostensibly failed struggling to get the glove on. In essence, the attack worked by demonstrating that the claims surrounding the evidence were not as they seem. In fact, that the evidence that seemed to support the prosecution's case actually vindicated the defense's case. (Of course, one has to wonder just how "cooperative" the Squeeze was when he "trying" to put the glove on. He escaped criminal penalty but later was found liable in a civil trial where the standards of evidence were less.)