It does sound unusual to me as well, yes, although I'm not sure how it stacks up practicum-wise with other VAs. My grad school never had a practicum available at a VA (the nearest one is an hour away), so my experience has only been on internship, where the neuropsychologist will interview the patient for a bit themselves, then hand the veteran off to us (the interns), who do the testing, scoring, and report writing. This is actually very similar to how things worked for me in grad school, as I never wrote a "fake" or practice report; everything "counted" from day one, we just received greater amounts of supervision/revision early on. However, the grad students at my current internship site definitely receive a bit less autonomy than did I, as they don't seem to write integrative reports until perhaps their third or fourth year.
I could see the above being preferred for high-stakes evals, such as forensic cases; my current site has a faculty member who conducts a good number, and only the postdocs are allowed to write those reports (although my grad school was again seemingly unique here, as I wrote multiple forensic-oriented reports for my advisor, conducted records reviews, etc.). I guess it just depends on the standards of practice in the area, and how comfortable a given faculty member is with a given setup.
Edit: To answer Dirkwww's question about my current (consortium) site--to the best of my knowledge, all of the staff psychologists at the VA here hold PhDs. Then again, right across the street at the med school, there are two PsyDs on staff.