No, following the fashion of the time. Facial hair fell out of fashion early in the 1700's, for a gentleman, which officers were. With exceptions for hussar officers, officers in the Prussian army did not wear them. Neither did the French, the Austrians, Russians or British, or in pretty much any other European army. The hussar officers did, because they followed the fashion of the Hungarians, and facial hair was considered wild or uncivilized.
The rank and file were encouraged to wear them, on the other hand, the grenadiers especially, for the same reason, to appear fiercer or warlike.
Interestingly, it looks like the British followed a slightly different custom, and very few men in Britain wore moustaches at the time. I haven't seen any contemporary illustrations from that depict any soldiers, let alone their officers, wearing facial hair.
Of course, by the end of the century, fashions were changing radically, and in a couple of generations, we see moustaches and beards coming back into fashion.
Regarding the new photos, the new line is very attractive, and fills a gap in the market. But now they need to get those photos up on their website!
Prost!
Brad