I'm going to focus on the destination medium, which has been a contentious issue. Persuant to §80, the copy must be made onto an audio recording medium, which is defined broadly as:
[...] a recording medium, regardless of its material form, onto which a sound recording may be reproduced and that is of a kind ordinarily used by individual consumers for that purpose, excluding any prescribed kind of recording medium;
What media qualifies has an interesting history.
First, the Copyright Board did in fact discuss the destination medium in the document you cite. When they state:
It is, however, for the courts of civil jurisdiction to ultimately determine whether or not there is an infringement of copyright for private copies made onto a specific medium,
they are merely commenting on jurisdiction. The Copyright Board is a regulatory body, not a court.
As a regulatory body they make regulations as authorized by legislation.
In particular when setting levies on blank audio recording media, as authorized by §83 of the Copyright Act, they must consider the above definition.
In their decision, based on their reading of "audio recording medium", they accepted a proposed levy on CDs and memory permanently embedded in a "digital audio recorder" (MP3 player) but rejected a proposed levy on DVDs and removable memorypart III B.
However, industry members took this decision to court, where the Federal Court of Appeal upheld most of the Board's findings, but overturned the levy on the embedded memory saying:
 A digital audio recorder is not a medium; the CPCC [levy proposer] recognized so much when it asked that the levy be applied on the memory found therein but not on the recorder itself. The Board erred when it held that it could certify a levy on the memory integrated into a digital audio recorder.
Later, the CPCC considered the "digital audio recorder is not a medium" statement to be obiter, and attempted to have a levy imposed on digital audio recorders. The Board agreed, though the court reaffirmed itself.
Separately in 2012, a regulation was introduced specifically excluding MicroSD cards from the definition. This is the last action on the definition that I'm aware of. In particular, I don't think it's been determined yet if hard drives fit the definition.